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Chapter 6: Problem 9

In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 30 y^{4}, 6 $$

Short Answer

Expert verified
Answer: The other factor is \(5y^4\).

Step by step solution

01

Divide the given product by the given factor

We need to divide the given product, \(30y^4\), by the given factor, 6: $$ \frac{30y^4}{6} $$
02

Simplify the fraction

Now, we will simplify the fraction by dividing the constants (30 and 6) and keeping the variable part (\(y^4\)) as it is: $$ \frac{30}{6}y^4 $$
03

Perform division

Divide the constants: $$ 5y^4 $$
04

State the other factor

After simplification, we find that the other factor is: $$ 5y^4 $$

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Most popular questions from this chapter

For the following problems, factor the polynomials, if possible. $$ a^{4}-2 a^{2} b-15 b^{2} $$

For the following problems, factor the trinomials if possible. $$ 30 a^{4} b^{4}-3 a^{2} b^{2}-6 c^{2} $$

For the following problems, factor, if possible, the trinomials. $$ b^{2}-22 b+121 $$

For the following problems, factor the polynomials, if possible. $$ 49 b^{4}-84 b^{2}+36 $$

For the following problems, factor the polynomials, if possible. $$ 15 a^{2} b^{2}-a b-2 b $$
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