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+3
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I forgot how to multiply polynomials and a problem that requires this skill showed up on my hw that it due tomorrow.

Feb 13, 2019

#1
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Bummer for you , Dude...... Feb 13, 2019
#2
+3

I know

TheDeathlyHallows  Feb 13, 2019
#3
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If you have  a sample, someone can show you how it is done,.......

ElectricPavlov  Feb 13, 2019
#4
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Ok, the problem I need solved is (4x+17)*(3x+2)

TheDeathlyHallows  Feb 13, 2019
edited by TheDeathlyHallows  Feb 13, 2019
#5
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Multiply  4x  times each of the terms in the second factor...then multiply 17 times each of the terms in the second factor...

then collect like terms:

4x*3x + 4x * 2  + 17 * (3x) + 17 * 2

12x^2  +  59x + 34                                  Just be careful when there is a negative sign involved!

ElectricPavlov  Feb 13, 2019
#6
+3

thanks so much! It really helped me

TheDeathlyHallows  Feb 13, 2019
#7
+3

I thought I was done and apparently, I have a division problem. (x^2-5x+6)/((2x-1)+(x/2)) is the problem.

TheDeathlyHallows  Feb 13, 2019
#8
+2

Hey, DeathlyHallows!

It looks like you want to simplify $$\frac{x^2-5x+6}{\textcolor{red}{2x-1+\frac{x}{2}}}$$ . Let's transform all the terms in the denominator such that they all have common denominators; this way, we will be able to add them together.

$$\textcolor{red}{2x-1+\frac{x}{2}}\Rightarrow\textcolor{red}{\frac{4x}{2}-\frac{1}{2}+\frac{x}{2}}$$

Notice that I have not changed the value of the expression; I just created a common denominator. Now, combine like terms.

$$\textcolor{red}{\frac{4x}{2}-\frac{1}{2}+\frac{x}{2}\\ \frac{5x}{2}-\frac{1}{2}\\ \frac{5x-1}{2}}$$

Therefore, $$\frac{x^2-5x+6}{2x-1+\frac{x}{2}}=\frac{x^2-5x+6}{\frac{5x-1}{2}}$$ . Now, it is time to simplify.

$$\frac{x^2-5x+6}{\frac{5x-1}{2}}*\frac{2}{2}\\ \frac{2(x^2-5x+6)}{5x-1}\\ \frac{2(x-2)(x-3)}{5x-1}$$

Even after I factored the numerator completely, I did not find any common factors present in both the numerator and the denominator, so this expression is already in simplest form.

TheXSquaredFactor  Feb 16, 2019