Question

If (x+2) is a factor of the polynomial f(x) = 2x4 + 3x + 2ax +3x +6
the value of a.​

Answer 1

Answer:

I have attached a picture, through that you can be able to know step by step process.

answer is -11/2

Step-by-step explanation:

hope it helps you

Answer 2

$\text { Given polynomial is } \mathrm{f}(\mathrm{x})=2 \mathrm{x}^{4}+\mathrm{3x}+2a\mathrm{x}+3x+6 \text {. }$

$\text { And }(\mathrm{x}+2) \text { is a factor of } \mathrm{f}(\mathrm{x})\\\text { According to the factor theorem, if }(x-a) \text { is a factor of } f(x) \text {, then } f(a)=0 \text {. }\\\text { Hence, } \mathrm{f}(-2)=0\\2(-2)^{4}+\mathrm{3}(-2)+2(-2)a+6=0$

$4 \mathrm{a}=32\\a=8$