Question

if -1 is a zero of the polinomial ax cube - x square + x + 4 , find the value of a

Answer 1

Answer:

Let, p(x)=ax³-x²+x+4

since, -1 is a zero of the polynomial p(x)

so, p(-1)=0

a(-1)³-(-1)²+(-1)+4=0

a×(-1)-1-1+4=0

-a-2+4=0

-a+2=0

a=2