If -1 is a zero of the polynomial p(x)=ax^3-x^2+x+4, then value of a is,___
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The meaning of '-1 is a zero of the polynomial' is that if we put the value of -1 in the expression ax^3-x^2+x+4 we get 0.
Putting x=-1,
a(-1)^3-(-1)^2+(-1)+4=0
-a-1-1+4=0
a=2
Putting x=-1,
a(-1)^3-(-1)^2+(-1)+4=0
-a-1-1+4=0
a=2
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