Question

factors of x² + 9x +8?

Answer 1

Solution:

Given the expression:

$x^2+9x+8$

To factor the expression, we have

$\begin{gathered} x^2+9x+8 \\ \Rightarrow x^2+x+8x+8 \\ break\text{ the expressions into groups} \\ (x^2+x)+(8x+8) \\ factor\text{ out the common terms in each parentheses,} \\ x(x+1)+8(x+1) \\ \Rightarrow(x+1)(x+8) \end{gathered}$

Hence, the factors of the expression is

$(x+1)(x+8)$