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Exercises Polynomials and factoring

Example 10.41 from Prealgebra, 10.3 Multiply Polynomials

Multiply Polynomials: example 10.41

Multiply: $(5 x - y) (2 x - 7) .$

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 terms.

Multiply the Outer terms.

Multiply the Inner terms.

Multiply the Last terms.

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: $(12 x - y) (x - 5) .$

How did it go?

PreviousMultiply Polynomials: example 10.40 Next Multiply Polynomials: example 10.42

From Prealgebra (1st edition) by OpenStax (Rice University), section 10.3, 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.