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Exercises Polynomials and factoring

Example 10.42 from Prealgebra, 10.3 Multiply Polynomials

Multiply Polynomials: example 10.42

Multiply using the vertical method: $(5 x - 1) (2 x - 7) .$

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
It does not matter which binomial goes on the top. Line up the columns when you multiply as we did when we multiplied $23 (46) .$

Multiply $2 x - 7$ by $−1$ .

Multiply $2 x - 7$ by $5 x$ .

Add like terms.

Notice the partial products are the same as the terms in the FOIL method.

Your turn

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

Multiply using the vertical method: $(4 m - 9) (3 m - 7) .$

How did it go?

PreviousMultiply Polynomials: example 10.41 Next Multiply Polynomials: example 10.43

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.