Answer:
See Below.
Step-by-step explanation:
We want to prove that:
We can factor the divisor:
According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (<em>x</em> - <em>a</em>) and if P(a) = 0, then the binomial is a factor of P(x).
Our two binomial factors our (<em>x</em> - 4) and (<em>x</em> + 3). Thus, <em>a</em> = 4 and <em>a</em> = -3.
Evaluate the polynomial for both of these factors:
And:
Since both yielded zero, the original polynomial is divisible by both (<em>x</em> - 4) and (<em>x</em> + 3) or <em>x</em>² - <em>x</em> - 12. Hence:
Answer:
<h2>
YOUR CORRECT ANSWER WOULD BE C.</h2>
Step-by-step explanation:
-2 is the answer to the problem
Answer:
see the explanation
Step-by-step explanation:
we know that
g(x)=2f(x)
so
Find the value of g(x) for the corresponding value of f(x)
1) For x=-6, f(x)=2
Substitute
g(x)=2f(x)
g(x)=2(2)=4
2) For x=-2, f(x)=2
Substitute
g(x)=2f(x)
g(x)=2(2)=4
3) For x=0, f(x)=6
Substitute
g(x)=2f(x)
g(x)=2(6)=12
4) For x=1, f(x)=3
Substitute
g(x)=2f(x)
g(x)=2(3)=6
4) For x=6, f(x)=-1
Substitute
g(x)=2f(x)
g(x)=2(-1)=-2