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Chapter 5: Problem 42

Find each product of the monomial and the polynomial. $$-5 y(6 y+7)$$

Short Answer

Expert verified
The product of the given monomial and binomial is \(-30 y^2 -35 y\)

Step by step solution

01

Identify the given expressions

The given monomial is \(-5 y\), and the binomial is \(6 y+7\)
02

Apply the distributive property

Multiply the monomial \(-5 y\) into each term in the binomial expression \(6 y + 7\): \[ (-5 y) * (6 y) + (-5 y) * 7 \]
03

Simplify the products

Multiply the coefficients: \[ -30 y^2 -35 y \]

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Most popular questions from this chapter

How do you know if an exponential expression is simplified?

Graph: \(y=\frac{1}{3} x+2 .\) (Section 3.4, Example 3)

Exercises \(110-112\) will help you prepare for the material covered in the next section. In each exercise, perform the long division without using a calculator, and then state the quotient and the remainder. $$1 9 \longdiv { 4 9 4 }$$

Perform the indicated operations. $$(y+1)\left(y^{2}-y+1\right)+(y-1)\left(y^{2}+y+1\right)$$

Perform the indicated operations. $$(y+1)\left(y^{2}-y+1\right)-(y-1)\left(y^{2}+y+1\right)$$
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