Answers
Answer:
The HCF of these polynomials is (p+2q).
Step-by-step explanation:
First of all, we need to factorize each polynomial:
a) [tex]p^{2}+4pq+4q^{2}[/tex]
[tex]=p^{2}+4pq+(2q)^{2}[/tex]
[tex]=(p+2q)^{2}[/tex]
b) [tex]p^{4}+8pq^{3}[/tex]
[tex]=p(p^{3}+8q^{3})[/tex]
[tex]=p(p^{3}+(2q)^{3})[/tex]
[tex]=p(p+2q)(p^{2}-2pq+(2q)^{2})[/tex]
c) [tex]3p^{4}-10p^{2}q^{2}+p^{3}q[/tex]
[tex]=p^{2}(3p^{2}-10q^{2}+pq)[/tex]
[tex]=p^{2}(3p-5q)(p+2q)[/tex]
Therefore, the HCF of these polynomials is (p+2q).
I hope it helps you!
Related Questions
The measure of one base angle of an isosceles triangle is 35 degrees. What is the measure of the vertex angle?
Answers
Answer:
110 degrees
Step-by-step explanation:
The measures of the two base angles of an isosceles triangle are the same so 180 - 2(35) = 110 which is the vertex angle.
The ratio of salamanders to frogs is 6 to 7. If there are 9 salamanders, how many frogs are there?
Answers
Answer
10
Step-by-step explanation:
salamander:frog
6:7
start by setting up the ratios as fractions and using x as the variable.
[tex]\frac{6}{7}[/tex]=[tex]\frac{9}{x}[/tex]
next cross multiply.
6x=63
x=10 i believe
Which sentence means Jack ate 2 ⁄ 4 of a pizza?
Answers
what are the sentences? but 2/4, could also be 1/2 or a half
Lona wants to a buy raincoat for her goat. The raincoat she wants price
went up by $4. If the original price of the rain coat is $40 and has a sales
tax rate of 8%. What will be the FINAL PRICE (with tax) of the raincoat?
Answers
Answer:
$47.52
Step-by-step explanation:
Since the coat went up by $4 and the original price was $40, the new price is $44. There is a tax rate of 8% meaning we multiply the original price by 108% or 1.08 since we are adding 8% onto the price.
44 x 1.08 = $47.52
Rosa built a jewelry box. She first cut out all the pieces she would need by using the pattern shown below based on the pattern which phrase best describes the shape of the completed jewelry box
Answers
Answer: C
Step-by-step explanation: The sides looks longer and the looks shorter. Imagine an cube picture and picture this image in your head.
Please help ASAP RN
1) You make $16.00 per hour at your job at the caterpillar factory. Your boss offers you time an
pay for working on holidays. During the week the 4th of July week, you worked 4 days at your
and one day at holiday pay. Assume you worked 8 hours each day. How much will your paych
week?
a) $88.00
b) $432.00
c) $536.00
d) $704.00
e) $896.00
Answers
Answer:
D
Step-by-step explanation:
please help! ill give brainliest<3
Answers
Answer:
i cannot see
Step-by-step explanation:
The length of a field in feet is a function f(n) of the length n in yards. Write a function rule for this situation.
A.f(n) = 12n
B.f(n)=1/3n
C.f(n)=n/12
D.f(n) = 3n
Answers
Answer:
D.f(n) = 3n
Step-by-step explanation:
The function rule for this given situation is shown below;
Given that
The length of the field in feet would be f(n) of the length n in yards
Now as we know that
1 yard = 3 inches
So
f(n) = 3n
Hence, the option d is correct
If triangle ABC is an equilateral triangle with sides of 12 ft , and points X,Y, and Z are the midpoints of each side , find the perimeter of triangle XYZ.
Answers
Answer:
I dont know the answer so I'm gonna give it my best sorry!
Step-by-step explanation:
I think that it is 36 ft.
how do I resolve this?
Answers
Answer:
32
Step-by-step explanation:
20+2+4+6
pls mark brainliest
Segments AB,DC, and EC intersect at point C. Angle DCE measures 148. Find the value
Answers
Answer:
x = 16°
Step-by-step explanation:
We can see that AB is a straight line. The sum of angles on a straight line adds up to 180°
∠ACD + ∠DCE + ∠ECD = 180° (sum of angles on a straight line)
∠ACD = x, ∠DCE = 148, ∠ECD = x
substituting the respected values for the angles gives:
x + 148 + x = 180
2x + 148 = 180
subtracting 148 from both sides:
2x + 148 - 148 = 180 - 148
2x = 32
Dividing both sides by 2, to get x:
2x/2 = 32/2
x = 16°
HELP PLEASE IM BEGGING ITS SUPER SIMPLE
Answers
Because: when x is for example 1 is 25 for acme solutions while it is almost 40 for clean sweep
What is the value of the expression 7 + (16 − 7) ÷ 3 + 8? 12 15 17 18
Answers
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
7+(16-7)/3+8
7+9/3+8
7+3+8
18
Sam has twice as many as books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do they have altogether?
Answers
Answer:
48
Step-by-step explanation:
Sam had 36 books
Jim had 12
after same gave Jim 12 books, they each had 24 books
What should be added to both sides of the equation below to complete the square?
x?
+ 6x = -8
O-4
O-2
O-9
09
Answers
Answer:
Step-by-step explanation:
x² + 6x = 8
Coefficient of the x term: 6
Divide it in half: 3
Square it: 3²
Add 3² to both sides of the equation to complete the square and keep the equation balanced:
x² + 6x + 3² = 8 + 3²
(x+3)² = 17
what is the opposite of 1/2
Answers
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
What is the center of the circle x2 + y2 - 13x – 22 =0
Answers
[tex] \frac{13}{2} 0[/tex]
[tex] \frac{ \sqrt{257} }{2} [/tex]
Answer:
mark me as brainiest and follow up
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of it or use 3.14 for 4 and enter your answer as a decimal.
units
Answers
Answer:
3.14 times 4 equal 12.56
The requried arc length of the partial circle with a radius of 4 and a central angle of 270 degrees is 6π units, or approximately 18.85 units if using 3.14 as an approximation for π.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
When the central angle of a circle is given in degrees, we can use the formula for arc length:
arc length = (Ф/360) x 2πr
Here, the radius is given as 4, and the central angle theta is 270 degrees. Substituting these values into the formula,
arc length = (270/360) x 2π(4)
arc length = (3/4) x 2π(4)
arc length = (3/4) x 8π
arc length = 6π
Therefore, the arc length of the partial circle with a radius of 4 and a central angle of 270 degrees is 6π units, or approximately 18.85 units if using 3.14 as an approximation for π.
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ7
Which property justifies the fact that
5(x - 2) is equivalent to 5x – 10?
A commutative
B associative
C distributive
D identity
Answers
Answer:
C distributive
Answer:
DistributiveStep-by-step explanation:
5(x - 2) = 5x - 105(x - 2) = 5(x - 2).
if you sove 5(x - 2) then you will find 5x - 10.
A rectangle has an area of 270m2.
One of the sides is 3m in length.
Work out the perimeter of the rectangle.
Answers
Solving for x, x = 90
So one side is 90m and the other is 3m.
Now find entire perimeter 90+90+3+3=180+6=186m
Make u the subject of the relation.
1.wx+yz=uv-2wx
Answers
Answer:
Step-by-step explanation:
wx+yz=uv-2wx
uv = wx + yz + 2wx
u = ( wx + yz + 2wx ) / v
hope it helps :)
please just find the measures of the segment plzzzzzzzz
Answers
Answer:
BE=19 AD=29
Step-by-step explanation:
4.) Show that sec 0 sin 0 cot 0= 1 is an identity
Answers
Answer:
1/sin(0)+sin(0)+cos0/sin0= 1
Which of the following uses electrical energy?
The sun
A washing machine
A cat
A plant
Answers
Answer:
B. A washing machine.
Step-by-step explanation:
What's Electrical energy?
Electrical energy is energy derived from electric potential energy or kinetic energy. When used loosely, electrical energy refers to energy that has been converted from electric potential energy.
Hope this helps!
the point A (4,-1) is reflected over the x-axis
Answers
Hope this helps! Pls choose brainliest
Please help me and please explain the answer:))
Answers
Answer:
3rd one
Step-by-step explanation:
Find the product.
(-4·3·2)2
Answers
(- 4 * 3 * 2)*2 = - 48
You could’ve used a calculator too :)
Write a point-slope equation for the line that has slope 4 and passes through the point (11,7)
Answers
Answer:
y-7=4(x-11)
Step-by-step explanation:
y-y1=m(x-x1)
y-7=4(x-11)
The diagram below.....
Answers
Answer:
what are the rest of the answer options I need to know that before I answer it
frank bought am math pencil, he used 28% percent off with a QR code, he paid 108$ how much did he save
Answers
Step-by-step explanation:
28% =28\100
28\100×108=30.24