Question

If X + 2 is a factor of 4 x power 4 + 2 x cube minus 3 X square + 8 x + 5a then find the value of a

Answer 1

hope it will help you

Answer 2

The value of x is -4.

Step-by-step explanation:

Consider the given polynomial is

$P(x)=4x^4+2x^3-3x^2+8x+5a$

We need to find the value of a when (x+2) is a factor of P(x).

If (x-c) is a factor of P(x), the P(c)=0.

Since (x+2) is a factor of P(x), it means P(-2)=0.

Substitute x=-2 in the given polynomial.

$P(-2)=4(-2)^4+2(-2)^3-3(-2)^2+8(-2)+5a$

$P(-2)=4(16)+2(-8)-3(4)-16+5a$

$P(-2)=20+5a$

Equate P(-2)=0.

$20+5a=0$

$5a=-20$

Divide both sides by 5.

$a=-4$

Therefore, the value of x is -4.

#Learn more

If (x+2) is a factor of -x^4 -x^3 + x^2 + kx + 4.  then find value of k.

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