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3 years ago

Write a sentence explaining why all solutions of rational equation must be checked

Mathematics

1 answer:

algol [13]3 years ago

4 0

Answer:

Some found solutions may be extraneous, so they must all be checked in the original equation.

Step-by-step explanation:

All "solution" values that make any denominator of a rational expression zero must be excluded from the solution set. Every solution must be checked to make certain it is not excluded.

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(x^2–x–4)multiplied by(x–5)

Sergio [31]

$(x-5)(x^2-x-4) =x^3-6x^2+x+20$

Step-by-step explanation:

Given polynomials are:

$x^2-x-4\\and\\x-5$

Both polynomials have to be multiplied. We will use distributive property for the said purpose

So,

$(x-5)(x^2-x-4)\\=x(x^2-x-4)-5(x^2-x-4)\\=x^3-x^2-4x-5x^2+5x+20$

Combining alike terms

$=x^3-x^2-5x^2-4x+5x+20\\=x^3-6x^2+x+20$

Hence,

$(x-5)(x^2-x-4) =x^3-6x^2+x+20$

Keywords: Polynomials, Multiplication

Learn more about polynomials at:

#LearnwithBrainly

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