Question

A
21. Find the value of a if x + a is a factor of p(x) = x +ax? - 2x + a + 4
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Answer 1

Step-by-step explanation:

x^3+ax^2-2x+a+4 Must be divisible by x+a

so,( x3+ax2−2x+a+4)/(x+a)

=x^2–2 is quotient and (a+4)-(-2a) is remainder

But the polynomial is divisible so the remainder should be 0

Thus , (a+4)-(-2a)=0

=>(a+4+2a)=0

=>3a+4=0

=>a=-4/3