Math, asked by yogishivemandir, 1 month ago

If -1 is a zero of the polynomial p(x)=x2 -7x-8 , then the other zero is (a) -8 (b) -7 (c) 1 (d) 8​

Answers

Answered by SmartDiva
24

Answer:

OPTION D)8

Step-by-step explanation:

=>x2 -7x -8 = 0

=>x2 -8x+x-8 = 0

=>x(x-8) +1(x-8)= 0

=>(x+1) (x-8) = 0

=>x= -1 , 8

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Answered by pulakmath007
6

SOLUTION

TO CHOOSE THE CORRECT OPTION

If - 1 is a zero of the polynomial p(x) = x² - 7x - 8 , then the other zero is

(a) - 8

(b) - 7

(c) 1

(d) 8

TO DETERMINE

Here the given polynomial is

p(x) = x² - 7x - 8

We now find the zeroes of the polynomial

For the zero of the polynomial p(x) we have

p(x) = 0

⇒x² - 7x - 8 = 0

⇒x² - 8x + x - 8 = 0

⇒( x - 8 ) ( x + 1 ) = 0

x - 8 = 0 gives x = 8

x + 1 = 0 gives x = - 1

Since it is given that one zero is - 1

So the other zero is 8

FINAL ANSWER

Hence the correct option is (d) 8

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