Chapter 11: Q.315. (page 1069)

Divide the polynomial by the binomial.
$(125 y^{3} - 64) \div (5 y - 4)$

Short Answer

Expert verified

The solution is $25 y^{2} + 20 y + 16$ .

Step by step solution

Step 1. Given information.

The given expression is $(125 y^{3} - 64) \div (5 y - 4)$ .

Step 2. Divide the polynomial by a binomial by using the long division method.

Solve it as follows:

$5 y - 4 \begin{matrix} 25 y^{2} & + 20 y & + 16 \end{matrix} \begin{matrix} 125 y^{3} & + 0 y^{2} & + 0 y & - 64 \\ 125 y^{3} & - 100 y^{2} \end{matrix} \bar{100 y^{2} + 0 y} 100 y^{2} - 80 y \bar{80 y - 64} 80 y - 64 \bar{0}$

Step 3. Simplified expression.

Hence, the obtained result is $25 y^{2} + 20 y + 16$ .

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Divide the polynomial by the binomial.
$(125 y^{3} - 64) \div (5 y - 4)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Divide the polynomial by a binomial by using the long division method.

Step 3. Simplified expression.

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Divide the polynomial by the binomial.125y3-64÷5y-4

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Divide the polynomial by a binomial by using the long division method.

Step 3. Simplified expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Applied Mathematics

Geometry

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Divide the polynomial by the binomial.
$(125 y^{3} - 64) \div (5 y - 4)$