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.

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

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

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Applied Mathematics

Mechanics Maths

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

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

Calculus

Applied Mathematics

Mechanics Maths

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

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