Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3 - Page 207: 36

$x^{4}$ + 2$x^{3}$ - 47$x^{2}$ + 12x + 32

Work Step by Step

($x^{2}$ - 5x - 4)($x^{2}$ + 7x - 8) = Use the distributive property. $x^{2}$($x^{2}$) +$x^{2}$(7x) +$x^{2}$(-8) -5x($x^{2}$) -5x(7x) -5x(-8) -4($x^{2}$) -4(7x) -4(-8) = $x^{4}$ + 7$x^{3}$ - 8$x^{2}$ - 5$x^{3}$ - 35$x^{2}$ + 40x - 4$x^{2}$ - 28x + 32= Simplify. $x^{4}$ + 2$x^{3}$ - 47$x^{2}$ + 12x + 32

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