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Exercises Polynomials and factoring

Example 6.88 from Elementary Algebra, 6.6 Divide Polynomials

Divide Polynomials: example 6.88

Find the quotient: $(8 a^{3} + 27) \div (2 a + 3) .$

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
This time we will show the division all in one step. We need to add two placeholders in order to divide.

To check, multiply $(2 a + 3) (4 a^{2} - 6 a + 9)$ .

The result should be $8 a^{3} + 27$ .

Your turn

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

Find the quotient: $(x^{3} - 64) \div (x - 4) .$

How did it go?

PreviousDivide Polynomials: example 6.87 Next Integer Exponents and Scientific Notation: example 6.90

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 6.6, 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.