QuestionQ Exponents and Polynomials Factoring a quadratic with leading coefficient greater than 1
Factor. $$8 x^{2}+18 x+9$$ $\square$

Studdy Solution
Factor by grouping. Group the terms:
$$(8x^2 + 12x) + (6x + 9)$$
Factor out the greatest common factor from each group:
$$4x(2x + 3) + 3(2x + 3)$$
Notice that $(2x + 3)$ is a common factor:
$$(4x + 3)(2x + 3)$$
The factored form of the quadratic expression is:
$$\boxed{(4x + 3)(2x + 3)}$$