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Flnd87' 8y, and _ HINT (See Example 3.] Ix; Y, 2) 6xy 647 6yzFind thelr values at (0,possible. (If an answer undefined, enter UNDEFINED )(0, -1, 1)8E(0,Need He...

Question

Flnd87' 8y, and _ HINT (See Example 3.] Ix; Y, 2) 6xy 647 6yzFind thelr values at (0,possible. (If an answer undefined, enter UNDEFINED )(0, -1, 1)8E(0,Need Help?RataatEE

Flnd 87' 8y, and _ HINT (See Example 3.] Ix; Y, 2) 6xy 647 6yz Find thelr values at (0, possible. (If an answer undefined, enter UNDEFINED ) (0, -1, 1) 8E(0, Need Help? Rata atEE



Answers

In Exercises $53-78,$ divide the polynomial by the monomial. Check each answer by showing that the product of the divisor and the quotient is the dividend. $$\left(16 y^{2}-8 y\right) \div y$$

So we want to go ahead and perform the following division. We have a polynomial being divided by a mono meal just meaning there's one term When this is the case. We can separate and divide each term um by this three Y. Turn by turn. So uh to rewrite this we can separate, we have nine Y squared Divided by three Y. And we have a plus 12 Y over three Y. And we've got a minus sign 15/3 Y. And we can now make simplifications term by term. Um So first term nine divided by three is three. And whenever we have um same variable on top and bottom, what we can do is we subtract the exponents and um the answer goes on the side of the division sign with the bigger exponents. So it sounds like a lot but I'm going to explain. So what that means is okay we have why squared and why? So I'm going to subtract the exponents, Take the bigger 1- the smaller, so 2 -1 is one. And my answer is going to go on top since that has the bigger exponents. So I can simplify why and why squared? To just give me a why? Now let's look at the second term 12 2 by by three. So 12 divided by three simplifies to four and we have why and why? Those just cancel out Then on the last time here 15 drive by three Y. So 15 Divided by three is 5. And the only there's no why on top is only why? On bottom so we can just leave it assets. So let's write down what we have. Um So First term we have three Y everything can sit on the bottom, plus Again, everything cancelled on the bottom, so plus four minus Last term we have 15 and we still have the white or sorry, not 15. We have five and we still have that wire on the bottom, so we have five over why? And this is our final answer.

Can discussion. We have to solve virus to the power eight minus 11 y Q plus Why divided by y Okay, so we have way Have toe divide the polynomial by the phenomenal. So we will break up the question so that Islam is divided by the mono mia. So we will break up. Then it will be virus to the power eight divided by Y minus 11 y cube divided by y plus Why upon why? So this will be why days to the power seven minus 11. Why square plus one? So this will be our final answer. But we have to check whether it is correct or not. So we will multiply the divisor by the questioned. So we have to get that dividend in the answer. Okay, so the divisor is the denominator portion. That is why when cautioned, is our answer that is, virus to devour seven minus 11. Why square plus one and dependent is the numerator abortion that is virus to devour eight minus 11. Why Q plus Why? Okay, So we will multiply the left hand side that is wide or virus to devour seven minus. We will multiple with each factor So it is. Why 11? My square plus one don't. Why? Okay. The right inside the same Theobald virus to power eight minus 11 Q plus Why? And now it will be virus to the power eight. It will be 11 virus to devour three and this will be why and the right hand side, same as the abo. And we have noticed that the left hand side vehicles to the right and side so over This answer is so correct. Thank you.

Okay, discussion. We have to solve virus to the power seven minus nine. Why square plus why divide by why? Okay, so we have We have to divide the polynomial by the Manami in. So we will first break up the question so that each term is divided by the Manami. Um, so this will be virus to the power seven divided by why my next nine y squared divided by why and plus why by why. Okay, so this will be virus to the power six minus nine y plus one. So this will be our answer. But we have to check whether it is correct or not. So we will multiply their divisor with the caution on we should care the dividend in the answer. Okay, So the divisor is the denominator portion. That is why. And caution is our answer. That is virus to the power six minus 95 plus one. And the dividend is the numerator portion that is virus to the power seven minus nine y squared. Plus why? Okay, so we will multiply the left hand side and we should get the right hand side in the answer. So in the multiply, we will get. Why don't virus to devour six minus 5.9 y plus one dot Why? And the right inside the same as they bow That is virus to the power seven minus nine. Why square plus why? And this will be virus to give our seven. This will be minus mine. Why, Squire? And this will be wondered why that is why. And right inside the same as the abo. And we noticed that the left hand side is called toe the right inside. So our this answer is so true, so correct. Thank you.

Okay. This question wants us to solve this linear system using Cramer's rule. So remember, Cramer's rule says that when solving a linear system, we can express the answer in terms of determinants. So X is equal to our coefficient determinant, with the first column replaced by our Constance on the right, divided by that call efficient matrix and then, similarly, why is equal to that determinant? But the second column is swapped out for the constants, so let's calculate everything we need. So our determinant of the coefficient matrix is just pretty much this thing right here. So that's negative. 7 11 three negative nine. And that's equal to 63 minus 33 which is 30. So d X is the determinant. But the first column is swapped out for our Constance N. D. Y. Is that. But our second column has swapped out for our Constance. So what's just right D equals 30 here than D X is equal to nine minus 99 which is negative. 90 and then d Y is equal to negative 63 plus three, which is negative. 60. So now that we have our values for D DX and E Y We know that X is equal to D X over D, which is equal to negative 90 over 30. And why is equal to do you? Why over D, which is equal to negative 60 over 30 so X equals negative three and why equals negative too. And that's the solution to our system.


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