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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.
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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