Q37. Find each quotient.48y2+8y+7梅12... [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 11: Q37. (page 729)

Find each quotient.
$(48 y^{2} + 8 y + 7) 梅 (12 y 鈭� 1)$

Short Answer

Expert verified

The quotient is $4 y + 1 + \frac{8}{12 y 鈭� 1}$ .

Step by step solution

Step 1. Define the concept.

Method of long division is preferably used when the polynomial cannot be factored or if there are no common factors by which to divide.

Step 2. Use method of long division.

First divide the first term of the dividend, $48 y^{2}$ , by the first term of the divisor, $12 y$ .

$12 y 鈭� 1 4 y \begin{array}{l} 48 y^{2} + 8 y + 7 \\ \frac{48 y^{2} 鈭� 4 y}{12 y + 7} \end{array} 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� (\begin{array}{l} 48 y^{2} 梅 12 y = 4 y \\ 惭耻濒迟颈辫濒测鈥夆赌� 12 y 鈭� 1 鈥夆赌塧苍诲鈥夆赌� 4 y \\ Subtract. \end{array})$

Step 3. Simplify the expression.

To further simplify, divide the first term of the partial dividend, $12 y$ , by the first term of the divisor, $12 y$ . Repeat the process as many times required.

localid="1648066557321" role="math" $12 y 鈭� 1 4 y + 1 \begin{array}{l} 48 y^{2} + 8 y + 7 \\ \frac{48 y^{2} 鈭� 4 y}{\begin{array}{l} 12 y + 7 \\ 12 y - 1 \\ 8 \end{array}} \end{array}$

Therefore, $(48 y^{2} + 8 y + 7) 梅 (12 y 鈭� 1)$ is $4 y + 1$ with a remainder of 8. This answer can be written as $4 y + 1 + \frac{8}{12 y 鈭� 1}$ .

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91影视

Find each quotient.
$(48 y^{2} + 8 y + 7) 梅 (12 y 鈭� 1)$

Short Answer

Step by step solution

Step 1. Define the concept.

Step 2. Use method of long division.

Step 3. Simplify the expression.

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91影视

Find each quotient.48y2+8y+7梅12y鈭�1

Short Answer

Step by step solution

Step 1. Define the concept.

Step 2. Use method of long division.

Step 3. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find each quotient.
$(48 y^{2} + 8 y + 7) 梅 (12 y 鈭� 1)$