# Chapter 4 - Polynomials - Study Summary - Practice Exercises: 24

$2x^2+11x+12$

#### Work Step by Step

RECALL: $(a+b)(c+d)=ac+ad+bc+bd$ This formula is more popularly known as the FOIL method. Use the formula above to obtain: $(x+4)(2x+3) \\=x(2x) +x(3) + 4(2x)+4(3) \\=2x^2+3x+8x+12$ Combine like terms to obtain: $=2x^2+(3x+8x)+12 \\=2x^2+(3+8)x+12 \\=2x^2+11x+12$

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