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Divide. See Example 1.$$ rac{80 r^{2}-40 r+10}{10 r}$$...

Question

Divide. See Example 1.$$ rac{80 r^{2}-40 r+10}{10 r}$$

Divide. See Example 1. $$ \frac{80 r^{2}-40 r+10}{10 r} $$



Answers

Divide. See Example 1.
$$
\frac{80 r^{2}-40 r+10}{10 r}
$$

We want to find the product of to our minus three us and who are plus free us. So this is a special product because it can see our to buy. No, meals have the same terms but different signs. So we know that is going to equal the first term squared minus the second term squared. So which means our answer is going to be four r squared minus nine s squared.

Okay for this problem. We're going to dividing a polynomial by a mono meal. And so we're gonna rewrite are fraction as three separate fractions. So 15 extra third over. Five minus 10 x squared over five plus 5/5. And they were gonna simplify the 15 in the five simplified toe one and three. So that leaves us with three x to the third 10 and the five simplified toe one and two. So that leaves us with just a two x squared and then five divided by five is one. And so that leaves us with one. So it will be a final answer is three x to the third minus two x squared, plus one.

Okay, We're gonna divide thes polynomial. So we set up our division by plus five on the outside. Why squared? Plus why? Minus 20 on the inside. Okay, first step is we just look at this first term here. Don't want to make sure everything is in descending order. And they are. So why goes until why squared? Why times then we multiply. Why? By why? Plus five. And we get why squared Plus five. Why? We're going to subtract So the Y scores cancel out. And then the why minus five wide gives me negative for Why bring down AR minus 20 and then we see how many times why goes into negative four. Why? And that would be minus four. Multiply its negative for why minus 20 you four times five. And so we have a zero remainder. And so the answer is why minus four

We're dividing. Polynomial is for this question, and we're gonna go ahead and take the denominator of our fraction and write it outside as our divisor to a plus one. And then insiders are dividend, which is our numerator of our fraction, which is a to the third. They don't give us a term for both a squared and a so we put zeros as placeholders and then plus one to a goes into 88 in the third. Well, first you have to have a four in front and then a squared for a squared multiplied by the divisor is 88 to the third plus for a squared. Then we subtract a the thirds cancel off zero minus four is negative for a squared. Bring down the zero A to a goes in the negative for a square, negative to eight times multiply and we get negative for a squared minus two a. Subtract these cross off zero minus negative two is positive to a and we bring down the plus one to a plus one goes in a to a +11 time That gives me to a plus one and I get a zero remainder so our final answer is for a squared plus minus to a plus one for a squared minus to a plus one.


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