Chapter 11: Q16. (page 731)

Find each quotient.
$(3 x^{2} - 14 x - 3) \div (x - 5)$

Short Answer

Expert verified

$3 x + 1 + \frac{2}{x - 5}$

Step by step solution

Step 1. Divide.

Divide the first term of the dividend, $3 x^{2}$ , by the first term of the divisor, $x$ .

role="math" localid="1648018840965" $x - 5 3 x 3 x^{2} - 14 x - 3 \frac{- 3 x^{2} - 15 x}{1 x - 3}$

Step 2. Divide.

Divide the first term of the partial dividend, $1 x$ , by the first term of the divisor, $x$ .

$x - 5 3 x + 1 3 x^{2} - 14 x - 3 \frac{- 3 x^{2} - 15 x}{1 x - 3} \frac{- 1 x - 5}{2}$

Step 3. Write the conclusion.

Therefore, $(3 x^{2} - 14 x - 3) \div (x - 5)$ is $3 x + 1$ with a remainder of 2. The answer can be written as $3 x + 1 + \frac{2}{x - 5}$ .

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Find each quotient.
$(3 x^{2} - 14 x - 3) \div (x - 5)$

Short Answer

Step by step solution

Step 1. Divide.

Step 2. Divide.

Step 3. Write the conclusion.

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Find each quotient.3x2−14x−3÷x−5

Short Answer

Step by step solution

Step 1. Divide.

Step 2. Divide.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Discrete Mathematics

Calculus

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Find each quotient.
$(3 x^{2} - 14 x - 3) \div (x - 5)$