Log in to add a comment

## Answers

x= -4

x+4=0

Dividing equation by x+4

x³-x²-14x+24/x+4

After diving we will get

x²-5x+6 = 0

Taking out its factors

x²-2x-3x+6 = 0

x(x-2)-3(x-2) = 0

(x-2) (x-3) = 0

x-2=0, x-3=0

x=2, x=3

therefore, Zeros are -4,2,3

I hope this will help you!

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

If -4 is a zero of the polynomial P(x) then (x+4) is a factor of P(x). So

(x+4) (x² + a x + 6) = P(x) = x³ - x² - 14 x + 24

co-efficient of x² is 1 as coefficient of x³ = 1 in P(x),

constant term is 24 in P(x), so 24/4 = 6 is the constant term in the second factor.

So co-efficient of x² = 4 + a = -1 So a = -5

co-efficient of x = 4a + 6 = -20 + 6 = -14. So it verifies.

(x+4) (x² + a x + 6) = P(x) = x³ - x² - 14 x + 24

co-efficient of x² is 1 as coefficient of x³ = 1 in P(x),

constant term is 24 in P(x), so 24/4 = 6 is the constant term in the second factor.

So co-efficient of x² = 4 + a = -1 So a = -5

co-efficient of x = 4a + 6 = -20 + 6 = -14. So it verifies.