Question

if -1 is zero of polynomial,f(x)=x²-7x-8,then,caluclate the other zero
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Answer 1

Answer:

Step-by-step explanation:

f (x)=x square -7x-8

Given that -1 is the zero of the polynomial

So,x-1=0

x=1

Now substituting x=1 in the given polinomial

f (1)= 1 square -(7×1)-8

= 1-7-8

=8-8

=0

Therefore x-1 is one zero of the polinomial

Let 1 is the other polinomial

So,x+1=0

x= -1

Now substituting x = -1 in the given polinomial

f (-1) =(-1) square - 7 (-1) -8

= 1 +7 -8

= 8-8

= 0

Therefore 1 is also the another zero of the polynomial.