Question

Write a polynomial equation with integer coefficients that has the given roots. x = -8, x = 7

Answer 1

Answer:

x²+x-56

Step-by-step explanation:

If x=-8 and x=7 are the roots then x+8 and x-7 are the factors. Find the product of the factors to obtain the polynomial.

(x+8)(x-7)

x²-7x+8x-56

x²+x-56

Similarly,we could use Vieta's formula

x²-(sum of roots)x+(product of roots)

x²-(-8+7)x+(-8×7)

x²-(-1)x+(-56)

x²+x-56