Problem 9
Question
In the following problems, the first quantity represents the product and the second quantity represents a factor of that product. Find the other factor. $$ 30 y^{4}, 6 $$
Step-by-Step Solution
Verified Answer
Answer: The other factor is \(5y^4\).
1Step 1: Divide the given product by the given factor
We need to divide the given product, \(30y^4\), by the given factor, 6:
$$ \frac{30y^4}{6} $$
2Step 2: 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:
$$ \frac{30}{6}y^4 $$
3Step 3: Perform division
Divide the constants:
$$ 5y^4 $$
4Step 4: State the other factor
After simplification, we find that the other factor is:
$$ 5y^4 $$
Other exercises in this chapter
Problem 9
For the following problems, use the grouping method to factor the polynomials. Some polynomials may not. be factorable using the grouping method. $$ x y+x+3 y+3
View solution Problem 9
For the following problems, factor the polynomials. $$ 8 b+12 $$
View solution Problem 10
For the following problems, the first quantity represents the product and the second quantity a factor. Find the other factor. $$ 3 a^{2}+9 a, \quad 3 a $$
View solution Problem 10
For the following problems, factor the trinomials when possible. $$ x^{2}+6 x+8 $$
View solution