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Exercises Polynomials and factoring

Example 10.58 from Prealgebra, 10.4 Divide Monomials

Divide Monomials: example 10.58

Find the quotient: $56 x^{5} \div 7 x^{2} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

$56 x^{5} \div 7 x^{2}$

Rewrite as a fraction. $\frac{56 x^{5}}{7 x^{2}}$

Use fraction multiplication to separate the number
part from the variable part. $\frac{56}{7} \cdot \frac{x^{5}}{x^{2}}$

Use the Quotient Property. $8 x^{3}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find the quotient: $63 x^{8} \div 9 x^{4} .$

How did it go?

PreviousDivide Monomials: example 10.57 Next Divide Monomials: example 10.59

From Prealgebra (1st edition) by OpenStax (Rice University), section 10.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.