Question

Hi, can I receive tutoring on this problem please. It would be greatly appreciated.

Answer 1

The expression given is

`2x^3+5x^2+6x+15`

Arranging the expression into two groups

`(2x^3+5x^2)+(6x+15)`
`\begin{gathered} \text{Factor out x}^2\text{ from }2x^3+5x^2 \\ =x^2(2x_{}+5) \end{gathered}`

Factor out 3 from 6x + 15

`=3(2x+5)`

Then the expression is now resulted into

`=x^2\mleft(2x+5\mright)+3\mleft(2x+5\mright)`
`\begin{gathered} \mathrm{Factor\: out\: common\: term\: }2x+5 \\ =\mleft(2x+5\mright)\mleft(x^2+3\mright) \end{gathered}`

Hence, the factors of the expression are

`\mleft(2x+5\mright)\mleft(x^2+3\mright)`