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Exercises Polynomials and factoring

Example 6.45 from Elementary Algebra, 6.3 Multiply Polynomials

Multiply Polynomials: example 6.45

Multiply using the Distributive Property: $(b + 3) (2 b^{2} - 5 b + 8) .$

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

Distribute.

Multiply.

Combine like terms.

Your turn

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

Multiply using the Distributive Property: $(y - 3) (y^{2} - 5 y + 2) .$

How did it go?

PreviousMultiply Polynomials: example 6.44 Next Multiply Polynomials: example 6.46

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 6.3, 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.