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Exercises Polynomials and factoring

Example 10.44 from Prealgebra, 10.3 Multiply Polynomials

Multiply Polynomials: example 10.44

Multiply using the Vertical Method: $(x + 3) (2 x^{2} - 5 x + 8) .$

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
It is easier to put the polynomial with fewer terms on the bottom because we get fewer partial products this way.

Multiply $(2 x^{2} - 5 x + 8)$ by 3.

Multiply $(2 x^{2} - 5 x + 8)$ by $x$ .

Add 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 Vertical Method: $(y - 1) (y^{2} - 7 y + 2) .$

How did it go?

PreviousMultiply Polynomials: example 10.43 Next Divide Monomials: example 10.45

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.