Answer:
a = -2
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.