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Exercises Polynomials and factoring

Example 6.41 from Elementary Algebra, 6.3 Multiply Polynomials

Multiply Polynomials: example 6.41

Multiply: $(3 x - y) (2 x - 5) .$

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

Multiply the First.

Multiply the Outer.

Multiply the Inner.

Multiply the Last.

Combine like terms—there are none.

Your turn

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

Multiply: $(10 c - d) (c - 6) .$

How did it go?

PreviousMultiply Polynomials: example 6.40 Next Multiply Polynomials: example 6.42

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.