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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q 269. (page 728)

Multiply the binomials. using (a) the Distributive Property (b) the Vertical Method.
$(y + 8) (4 y^{2} + y 鈭� 7)$

Short Answer

Expert verified

The required answer is $4 y^{3} + 33 y^{2} + y - 56$ .

Step by step solution

01

Part (a) Step 1. Given information.

The given polynomial is $(y + 8) (4 y^{2} + y - 7)$ .

02

Part (a) Step 2. Simplify the expression.

By using Distributive Property.

$(y + 8) (4 y^{2} + y - 7) = y 路鈥� 4 y^{2} + y y + y (- 7) + 8 路鈥� 4 y^{2} + 8 y + 8 (- 7) = 4 y^{3} + 33 y^{2} + y - 56$

03

Part (b) Step 1. Given information.

The given polynomial is $(y + 8) (4 y^{2} + y - 7)$

04

Part (b) Step 2. Simplify the expression.

By using vertical method.

$(4 y^{2} + y - 7) 脳 (y + 8)_______________32 y^{2} + 8 y - 56 4 y^{3} + y^{2} - 7 y_______________4 y^{3} + 33 y^{2} + y - 56$

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Most popular questions from this chapter

Simplify the polynomial.

$(4 m^{2} 鈥� 鈭� 鈥� 3 m 鈥� 鈭� 鈥� 7) m^{2}$

In the following exercises, multiply the binomials. Use any method.

$(q 鈭� 5) (q + 8)$

Simplify the polynomial.

$(15 c^{2} 鈥� 鈭� 鈥� 4 c 鈥� + 鈥� 5) c^{4}$

In the following exercises, multiply

$- 4 z^{2} (3 z^{2} + 12 z - 1)$

In the following exercises, multiply

$- 4 (p + 15)$

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