Chapter 6: Q 268. (page 728)

Multiply the binomials. using (a) the Distributive Property (b) the Vertical Method.
$(u + 4) (u^{2} + 3 u + 2)$

Short Answer

Expert verified

The required answer is $u^{3} + 7 u^{2} + 14 u + 8$ .

Step by step solution

Part (a) Step 1. Given information.

The given polynomial is $(u + 4) (u^{2} + 3 u + 2)$ .

Part (a) Step 2. Simplify the expression.

By using Distributive Property.

$(u + 4) (u^{2} + 3 u + 2) = u u^{2} + u \times 3 u + u \times 2 + 4 u^{2} + 4 \times 3 u + 4 \times 2 = u^{3} + 7 u^{2} + 14 u + 8$

Part (b) Step 2. Given information.

The given polynomial is $(u + 4) (u^{2} + 3 u + 2)$ .

Part (b) Step 2. Simplify the expression.

By using vertical method.

$(u^{2} + 3 u + 2) \times (u + 4)_____________4 u^{2} + 12 u + 8 u^{3} + 3 u^{2} + 2 u______________u^{3} + 7 u^{2} + 14 u + 8$

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Multiply the binomials. using (a) the Distributive Property (b) the Vertical Method.
$(u + 4) (u^{2} + 3 u + 2)$

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the expression.

Part (b) Step 2. Given information.

Part (b) Step 2. Simplify the expression.

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Multiply the binomials. using (a) the Distributive Property (b) the Vertical Method.(u+4)(u2+3u+2)

Short Answer

Step by step solution

Part (a) Step 1. Given information.

Part (a) Step 2. Simplify the expression.

Part (b) Step 2. Given information.

Part (b) Step 2. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Decision Maths

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Multiply the binomials. using (a) the Distributive Property (b) the Vertical Method.
$(u + 4) (u^{2} + 3 u + 2)$