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`\times`β = `-8/1`

= β = 8

∴ other zero is 8

So, the correct answer is option (d) 8





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