Q5.62 Multiply (x+4)(2x2-3x+5)聽using ... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q5.62 (page 530)

Multiply $(x + 4) (2 x^{2} - 3 x + 5)$ using (a) the distributive property (b) Vertical method.

Short Answer

Expert verified

$M u l t i p l y t h e g i v e n b i n o m i a l s, w e g e t (x + 4) (2 x^{2} - 3 x + 5) = 2 x^{3} + 5 x^{2} - 7 x + 20$

Step by step solution

Step1

$G i v e n I n f o r m a t i o n : M u l t i p l y (x + 4) (2 x^{2} - 3 x + 5) b y d i s t r i b u t i v e p r o p e r t y a n d v e r t i c a l m e t h o d .$

Step 2

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Vertical addition is a method of adding where the numbers are lined up in columns according to their places value.

Part(a) Step 1. Multiply the binomials by distributive property.

$(a) D i s t r i b u t e x 脳 2 x^{2} - 3 x 脳 x + 5 脳 x + 4 脳 2 x^{2} - 4 脳 3 x + 4 脳 5 D i s t r i b u t e a g a i n 2 x^{3} - 3 x^{2} + 5 x + 8 x^{2} - 12 x + 20 A d d l i k e t e r m s 2 x^{3} + 5 x^{2} - 7 x + 20$

Part(b) Step 1. Multiply the binomials by vertical method.

$(b) 2 x^{2} - 3 x + 5 脳 (x + 4) M u l t i p l e 2 x^{2} - 3 x + 5 b y 4 8 x^{2} - 12 x + 20 p a r t i a l p r o d u c t M u l t i p l e 2 x^{2} - 3 x + 5 b y x 2 x^{3} - 3 x^{2} + 5 x p a r t i a l p r o d u c t A d d l i k e t e r m s 2 x^{3} + 5 x^{2} - 7 x + 20$

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91影视

Multiply $(x + 4) (2 x^{2} - 3 x + 5)$ using (a) the distributive property (b) Vertical method.

Short Answer

Step by step solution

Step1

Step 2

Part(a) Step 1. Multiply the binomials by distributive property.

Part(b) Step 1. Multiply the binomials by vertical method.

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91影视

Multiply (x+4)(2x2-3x+5)using (a) the distributive property (b) Vertical method.

Short Answer

Step by step solution

Step1

Step 2

Part(a) Step 1. Multiply the binomials by distributive property.

Part(b) Step 1. Multiply the binomials by vertical method.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Mechanics Maths

Applied Mathematics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Multiply $(x + 4) (2 x^{2} - 3 x + 5)$ using (a) the distributive property (b) Vertical method.