# If -1 is a Zero of the Polynomial p(x)="x"^{2} -7x-8 , then the other Zero is

If -1 is a zero of the polynomial p(x)="x"^{2} -7x-8 , then the other zero is (a) -8 (b) -7 (c) 1 (d) 8

If -1 is a zero of the polynomial p(x)="x"^{2} -7x-8 , then the other zero is

(a) -8
(b) -7
(c) 1
(d) 8

(d) 8

Explanation:

Given,

p(x)="x"^{2} -7x-8

Let, α = -1, and β be zeros of p(x) [α = -1 because -1 is zeros of p(x)]

Now, Product of zeroes = "c"/"a"

= -1\timesβ = -8/1

= β = 8

∴ other zero is 8

So, the correct answer is option (d) 8