# Chapter R - Section R.4 - Polynomials - R.4 Assess Your Understanding - Page 48: 50

$x^2+8x+15$

#### Work Step by Step

The goal is to multiply each term in the first parentheses set by each term in the second parentheses set. But use FOIL, meaning multiply the first term of the first parentheses set by the first term of the second parentheses set, then multiply the outer terms, then multiply the inner terms, then multiply the 2 last terms of each set. (x+3)(x+5) $x^2+5x+3x+15$ Combine like terms $x^2+8x+15$ To put in polynomial standard form,make sure to rearrange the numbers by degree from high to low going left to right

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