Answer:
x = -6 and x = 1
Step-by-step explanation:
Given the equation (x + 2) (x + 3) = 12
Equate to zero;
(x + 2) (x + 3) - 12 = 0
Expand
x^2+3x+2x+6-12 = 0
x^2+5x - 6 = 0
Factorize
x^2 + 6x - x - 6 = 0
x(x+6)-1(x+6) = 0
(x+6)(x-1) = 0
x+6 = 0 and x -1 = 0
x = -6 and x = 1
Hence the zeros are x = -6 and x = 1
Answer:
is there a picture
Step-by-step explanation:
1/6:1/4
2/6:2/4
3/6:3/4
4/6:4/4
4/4= 1 hour.
Paige mows 4/6 of an acre in an hour
Can you show a picture on that
Answer:
Not a factor
Step-by-step explanation:
We can use Factor Theorem to answer this question. According to this theorem, in order to find if (x - a) is a factor of a polynomial f(x), calculate f(a). If f(a) comes out to be equal to zero, this will mean that (x-a) is factor of f(x).
Here, the expression we have is (x + 7), so we need to find f(-7) in order to check if (x+7) is a factor of f(x) or not
![f(x)=x^{3}-3x^{2}+2x-8](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B3%7D-3x%5E%7B2%7D%2B2x-8)
Substituting x = -7, we get:
![f(-7)=(-7)^{3}-3(-7)^{2}+2(-7)-8\\\\ f(-7)=-512](https://tex.z-dn.net/?f=f%28-7%29%3D%28-7%29%5E%7B3%7D-3%28-7%29%5E%7B2%7D%2B2%28-7%29-8%5C%5C%5C%5C%20f%28-7%29%3D-512)
Since f(-7) ≠ 0, (x + 7) is not a factor of the polynomial f(x)