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3 years ago

18.1 multiplying polynomial expressions by monomials

1 answer:

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The act of Multiplying a polynomial by a monomial is an easy one. An example of this is given as Multiply x – y – z by -8x².

<h3>What are Polynomial Expressions?</h3>

Polynomials are regarded as the sums of specific terms of a given form k⋅xⁿ. Here, the k stand for any number and n stand for a positive integer.

To Multiply x – y – z by -8x².

One has to first Multiply each term of the polynomial x – y – z by making use of the monomial -8x².

⟹ -8x² * (x – y – z)

= (-8x² * x) – (-8x² * y) – (-8x² * z)

Note that the * sign connote multiplication.

The next step is to add the like terms together;

The answer therefore is = -8x³ + 8x²y + 8x²z

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