Q5. Read each question. Then fill in... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q5. (page 466)

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.
Subtract the polynomials below.
$(7 a^{2} + 6 a 鈭� 2) 鈭� (鈭� 4 a^{3} + 3 a^{2} + 5)$
$4 a^{3} + 4 a^{2} + 6 a 鈭� 7$
$11 a^{2} + 3 a 鈭� 7$
$4 a^{3} + 10 a^{2} + 6 a + 3$
$4 a^{3} + 7 a^{3} 鈭� 3 a$

Short Answer

Expert verified

The result obtained after the subtraction of the given polynomials is $4 a^{3} + 4 a^{2} + 6 a 鈭� 7$ . Therefore, the option A is correct.

Step by step solution

Step 1. Define the additive inverse.

The additive inverse of a number 鈥� $a$ 鈥� is $- a$ as $a + (鈭� a) = 0$ .

Step 2. Find the result obtained after the subtraction of the given polynomials.

The difference of the polynomials $7 a^{2} + 6 a 鈭� 2$ and $鈭� 4 a^{3} + 3 a^{2} + 5$ can be find out by adding the polynomial $7 a^{2} + 6 a 鈭� 2$ and additive inverse of the polynomial $鈭� 4 a^{3} + 3 a^{2} + 5$ .

The additive inverse of the polynomial $鈭� 4 a^{3} + 3 a^{2} + 5$ is:

role="math" localid="1647689278588" $4 a^{3} 鈭� 3 a^{2} 鈭� 5$

Therefore, it can be noticed that:

role="math" localid="1647689455168" $(7 a^{2} + 6 a 鈭� 2) 鈭� (鈭� 4 a^{3} + 3 a^{2} + 5) = (7 a^{2} + 6 a 鈭� 2) + (4 a^{3} 鈭� 3 a^{2} 鈭� 5) = 7 a^{2} + 6 a 鈭� 2 + 4 a^{3} 鈭� 3 a^{2} 鈭� 5 = 4 a^{3} + 7 a^{2} 鈭� 3 a^{2} + 6 a 鈭� 2 鈭� 5 = 4 a^{3} + 4 a^{2} + 6 a 鈭� 7$

Therefore, the result obtained after the subtraction of the given polynomials is $4 a^{3} + 4 a^{2} + 6 a 鈭� 7$ . Therefore, the option A is correct.

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91影视

Short Answer

Step by step solution

Step 1. Define the additive inverse.

Step 2. Find the result obtained after the subtraction of the given polynomials.

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91影视

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.Subtract the polynomials below.7a2+6a鈭�2鈭�鈭�4a3+3a2+54a3+4a2+6a鈭�711a2+3a鈭�74a3+10a2+6a+34a3+7a3鈭�3a

Short Answer

Step by step solution

Step 1. Define the additive inverse.

Step 2. Find the result obtained after the subtraction of the given polynomials.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Decision Maths

Geometry

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.