Question

How do I solve them to know what is the correct answer

Answer 1

For:

`8x^3+16x^2`

Factor 8x² out of the expression:

`8x^2(x+2)`

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For:

`\begin{gathered} 2x^2-x+8x-4 \\ \end{gathered}`

Add like terms:

`2x^2+7x-4`

The coefficient of x² is 2 and the constant term is -4. The product of 2 and -4 is -8. The factors of -8 which sum to 7 are -1 and 8, thus:

`\begin{gathered} 2x^2+7x-4=4(2x-1)+x(2x-1) \\ so\colon \\ 4(2x-1)+x(2x-1)=(2x-1)(x+4) \end{gathered}`