## Precalculus: Mathematics for Calculus, 7th Edition

$(2x+1)(4x+3)$
$Factor$ $the$ $expression$ $completely:$ $8x^2+10+3$ Factor the trinomial into binomials $8x^2+10+3 = (2x+1)(4x+3)$ Check the answer by using the FOIL Method $2x\times 4x = 8x^2$ $2x \times 3 = 6x$ $1 \times 4x = 4x$ $1 \times 3 = 3$ $8x^2 + 6x + 4x + 3$ = $8x^2 + 10x + 3$