Question

If (x+a) is a factor of f(x)= x^3+ax^2+2x-4, then what is the value of a?​

Answer 1

Answer:

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

Answer 2

Answer:

The value of a is (-2).

Step-by-step explanation:

When you substitute the value of (x) = (-a) then, the result would be equal to zero as (-a) Is a factor of f(x).

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