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if -1 is a zero of polynomial ax^²-x²+x+4, find the value of a

Answer :

Answer:

a = -2

Step-by-step explanation:

Given that,

-1 is a zero of the polynomial. i.e. x = -1.

The polynomial is :

p(x) = ax²-x²+x+4

We need to find the value of a.

Put x = -1 in the above polynomial.

p(1) = a(-1)²-(-1)²+(-1)+4

For zeroes,

p(1) = 0

a(-1)²-(-1)²+(-1)+4 = 0

a-1-1+4 = 0

a = -2

So, the value of a is equal to -2.

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