Question

p(x) = x cube - 4x² - 7x + 10​

Answer 1

Step-by-step explanation:

Answer

Let f(x)=x

3

−4x

2

−7x+10

Given : 1 and −2 are the zeros of the given polynomial therefore (x−1) and (x+2) are factors of f(x)

Consequently ,(x−1)(x+2)=(x

2

+x−2) is a factor of f(x)

Divide x

3

−4x

2

−7x+10 by (x

2

+x−2)

put f(x)=0

(x

2

+x−2)(x−5)=0

(x−1)(x+2)(x−5)=0

x=1 or x=−2 or x=5

hence , the third zero is 5.

solution