Answer:
[tex]k = -4[/tex]
Explanation:
Given
[tex]P(x) = (3x^2 - 5)(x + k) - 20[/tex]
x is a factor
Required
Solve for k
x is a factor means that the polynomial can be divided successfully by x.
In other words, x is a zero of the polynomial.
i.e.
[tex]x = 0[/tex] and [tex]P(x) = 0[/tex]
Substitute 0 for x in P(x)
[tex]P(x) = (3x^2 - 5)(x + k) - 20[/tex]
[tex]P(x) = (3*0^2 - 5)(0 + k) - 20[/tex]
[tex]P(x) = (0- 5)(k) - 20[/tex]
[tex]P(x) = (-5)(k) - 20[/tex]
[tex]P(x) = -5k - 20[/tex]
Substitute 0 for P(x)
[tex]0 = -5k - 20[/tex]
Collect Like Terms
[tex]5k = - 20[/tex]
Divide both sides by 5
[tex]k = -4[/tex]
What is the purpose of the prefixes in the metric system?
a.
They signify the multiples of ten for each unit.
b.
They signify a completely separate unit.
c.
They always make a unit smaller.
d.
They always make a unit larger.
Answer:
A
Explanation:
the prefixes are based on a "10" system
A swimmer accelerates from 12 m/s to 13 m/s over 10 s. How much did the velocity change?
1 m/s
2 m/s
3 m/s
25 m/s