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Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(x)=
Answers
Answer:
p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Step-by-step explanation:
(x+3) is the factor of polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex]
So, we can divide [tex]p(x) = x^3 + 7x^2 - 36[/tex] by (x+3) to find other factors
The division is shown in figure attached.
The quotient is: x^2+4x-12
Now factoring the quotient to find linear factors
[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]
The factors are [tex](x+3)(x-2)(x+6)[/tex]
So, p(x) as a product of linear factors. [tex]p(x)=(x+3)(x-2)(x+6)[/tex]
Related Questions
I am being timed. Hurry please but take your time.
An unknown fractors is between 0 and 1. Which is true about the equivalent percent and decimal?
A. O The percent and decimal are betwern 0 and 1.
B. O The percent and decimal are greater than 1 and less than 100.
C. O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
D. O The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
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Answer: D. The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Explain why the exponent in 3.5 x 10 6 is 6 there are only 5 zeros in 3500000
Answers
Step-by-step explanation:
The given number is 3.5×10⁶. It is written in scientific form. We can first write it into standard form. There is exponent of 10 is 6.
3.5×10⁶ = 3.5×1000000
We can write 3.5 as 35/10
So,
3.5×10⁶ = (35/10)×1000000
= 3500000
One of the zero of 1000000 is divided by 10 at the denominator. Hence, the exponent in 3.5×10⁶ is 6 while there are 5 zeros in 3500000.
Your friend thinks that the equation -3.3 = 21 is a true statement. Is your friend correct? Explain.
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Hope this helps!!
Use fives fact to help you solve 7 x 6. Show your work using
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/ \ = 7 x 2 = 14
4 2 + __
42
Using the "fives fact" (5 x 6 = 30) as a starting point, we added one more group of 6 to reach the final result of 36.
To use the "fives fact" to solve 7 x 6, we can break it down into simpler calculations using the fact that 5 x 6 = 30.
Here's the step-by-step calculation:
1. Start with the "fives fact": 5 x 6 = 30.
2. Since we need to find 7 x 6, we can add another 6 to the result of 5 x 6:
30 + 6 = 36
Therefore, 7 x 6 equals 36.
To know more about fact:
https://brainly.com/question/31006910
#SPJ6
4x – 3y = 11
8x + 2y = 46
Answers
Answer:
y=-17 x=10
Step-by-step explanation:
4x-3y=11
8x+2y=46
8x-6y-22 8x+2(-17)=46
8x+2y=46 8x-34=46
2y-6y 46-(-22) 8x=80
-4y=68
y=-17 x=10
Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100
Answers
$5 = 1 walk
Divide 100 by 5 and you get 20
CHECK MY ANSWERS PLEASE!!
1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
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2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)
Answers
Answer:
1. A) OPS is congruent to RSU
2. C) RSP is congruent to TSU
Step-by-step explanation:
1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.
✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.
❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.
❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.
OPS and TSU are also not congruent.
2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:
C) RSP is congruent to TSU
How many integers are between - 6,01 and 7.75?
13
14
15
16
Answers
Answer:
14 integers
Step-by-step explanation:
Given
[tex]Range: -6.01\ to\ 7.75[/tex]
Required
Determine the number of integers
Integers implies numbers without decimals; it could be positive or negative or 0.
So, within the range: the integers are:
[tex]-6, -5, -4,-3,-2,-1,0,1,2,3,4,5,6,7[/tex]
Notice that the above numbers are integers within the given range.
By counting them, we get the required number of integers.
[tex]Numbers = 14[/tex]
Hence, there are 14 integers
Simplify the followingexpression (-5)(-3)(4)
Answers
A negative times a negative equals a positive. This means that -5 x -3 = 15.
Then you multiply that by four and get 60.
Hope this helps and have a nice day!!
helppppp please will give brainliest
Answers
Answer:
the value of y is 3 more than twice x
Step-by-step explanation:
we find the slope is 2 because 4/2=2
y=2x+b
we put in the first point (1,5)
5=2+b
b=3
y=2x+3
Answer:
i think its c
Step-by-step explanation:
because 4 times 1 is 4 and if u add 1 than u get 5 which is y
im not sure if this is right lmk
Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?
Answers
164-52=112
112/8=14
Answer:
I would say 14 weeks.
Step-by-step explanation:
I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.
Richard and Teo have a combined age of 31. Richard is 4 years older than twice Teo's age. Write a system of equations. How old are Richard and Teo?
I need to write an equation for this, please help
Answers
Answer:
richard is 22 and teo is 9
Step-by-step explanation:
Translate the phrase into an algebraic expression.
The product of c and 2
Answers
Answer:
c+2
Step-by-step explanation:
Im not 100% sure I understand what you mean by this but anytime it says and in a statement it means + so c+2 would be the answer.
Select the correct answer. If 20% of a number is 35, what is 50% of that number?
Answers
Help come on plzz will give brainliest
Answers
Answer:78.4
Step-by-step explanation:
(74+44+74+100+98+86+72+76+66+94)/10 = 78.4
what is the equation of the line that has a slope of 0 and passes through the point (4,-3)?
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It cost $3.45 to buy 3/4 lb of chopped walnuts. How much will it cost to buy 7.5 lbs of walnuts?
Answers
Answer:
$34.5
Step-by-step explanation:
Turning the 3/4 into a decimal would be .75, .75 can go into 7.5 10 times. You would multiply 10 by the cost $3.45 and you would get $34.5 for 7.5 lbs of walnuts.
Someone help me please
Express the cosine of < W as a ratio of the given side lengths.
Answers
Greatest common factor for 3,27, and 33
Answers
Answer:
it's 3.
Step-by-step explanation:
Here's why........3 only has 2 factors 1 and it's self and 3 times 9 is 27 and 3 times 11 is 33 they all have 3 as a factor.
• The height of a particular species of tree, in feet, r years after it is planted can be modeled by the
linear function h(x) = 5.27 +3.12x. Which of the following best interprets the y-intercept of the
linear model?
a. The average height of the species when planted is 5.27 feet.
b. The average height of the species when planted is 3.12 feet.
c. The species of tree grows by an average height of 5.27 feet per year.
d. The species of tree grows by an average height of 3.12 feet per year.
Answers
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.
Translate the scenario.
Team A =
Team B =
Team C =
The equation representing this scenario is
.
Answers
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
Take 4b+75 = 983
b = (983 - 75)/4 = 227
now
Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449
Team B = b = 227
Team C = 80 more than team B = b+80 = 227+80 = 307
or you can just subtract 983 - (Team A +Team B)
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
the other persons answer
can you please help me with this question .
Answers
Answer:
The answer is 4
Explanation:
5 divided by 20 is 4 right?
I need help plz help
Answers
3 times the sum of one third of a number and 8 is 11
Answers
Answer:
3([tex]\frac{1}{3}[/tex]x+8)=11
Step-by-step explanation:
It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.
PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.
1. x=15 ft.
2. x=10 in.
3. x=3 in
so can you figure out the correct answers for 1,2 and 3? You have to figure out what the area of the square is for each value and you need to figure out if the area of the square and the length of its side is or is not directly proportional to quantities.
Answers
Answer:
1. 15*15
2. 10*10
3. 3*3
Step-by-step explanation:
Answer:
Square the given value
Step-by-step explanation:
1. 15^2=225
10^2=100
3^2=9
A square has sides of EQUAL length. area is length times width. So, if each side is the same, square the given value.
Which equation justifies why 9 1/3 = ∛9?
(9 1/3)³ = 9(1/3·3) = 9
(9 1/3)³ = 9(1/3+3) = 9
(9 1/3)³ = 9(1/3-3) = 9
(9 1/3)³ = 9(3-1/3) = 9
Answers
Answer:
(91/3)3=9(1/3-3)=9
Step-by-step explanation:
Answer:
hows your day
Step-by-step explanation:
Makayla borrows $15200. Some is from her friend at 5% annual interest, 2 times as much as that from her bank at 8% , and the remainder from her insurance company at 4%. She pays a total of $968 in interest for the first year. How much did she borrow from each source?
Answers
Answer:
Amount borrowed from friend = 4000
From Bank = 8000
From insurance = 3200
Step-by-step explanation:
Given that:
Amount borrowed = $15200
Let amount borrowed from friend = x
x at 5% = 0.05x
From Bank = 2x at 8% = 0.08*2x = 0.16x
From insurance = 15200 - (x + 2x) at 4%
From insurance = 15200 - 3x at 4% ; (15200 - 3x)* 0.04 = 608 - 0.12x
Interest paid in first year = $968
Simple interest = principal * rate * time
968 =
968 = (0.05x + 0.16x + 608 - 0.12x)
968 - 608 = 0.05x + 0.16x - 0.12x
360 = 0.09x
x = 360 / 0.09
x = 4000
Hence,
Amount borrowed from friend = 4000
From Bank = 2x = 4000 * 2 = 8000
From insurance = 15200 - (4000 + 8000) = 3200
If f(x) = 4x2 – 3x + 7, what is f(-2)?
Answers
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function
4. Look at these prices.
£8.79
£7.98
£8.97
£7.89
Write the amounts in order. Start with the smallest amount.
£
£
£
£
smallest
largest
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How do you find
the rate of change of a function?
Answers
Answer:
xfghzfgfrxeshixeah
Step-by-step explanation:
LG's SSL looks sl lid