Question

Which of the following is a factor of 2x^3+13x^2+19x+20

A)x-2
B)x-2
C)x+2
D)x+5
Plz give me the answer and the step plz

Answer 1

`(x+5)`

Explanation:

`2x^3+13x^2+19x+20`

`(2x^3+13x^2+19x+20)/(x+5)`

`2x^2+(3x^2+19x+20)/(x+5)`

`2x^2+3x+(4x+20)/(x+5)`

`2x^2+3x+(4x+20)/(x+5)`

`2x^2+3x+4`

Now we got.

`\left(x+5\right)\left(2x^2+3x+4\right)`

`\left(x+5\right)`