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
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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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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