Tia C.

asked • 03/29/17

Find y coordinate of intersection

I am having trouble because one of them is a cubic polynomial.

y= x^2 - 2x - 5
y= x^3 - 2X^2 - 5x - 9

Question
When the two equations shown are graphed in the coordinate plane, they intersect at a point. What is the y -coordinate of the point of intersection?

3 Answers By Expert Tutors

By:

Michael J. answered • 03/29/17

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Tia C.

Thank you so much  taking the time to answer the question!  Now I just have to go and learn about synthetic division.   I am in high school and we learned a different method of factoring cubic polynomials, which is grouping. It did not work for this one… I had never  Learned synthetic division before. This was all for my eighth grade little sister! I am helping her and this was one of the questions for algebra 1 on the PARCC practice.
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03/29/17

Walter H.

Factoring by grouping is a great skill to have, but sometimes it doesn't work.  If this is for 8th grade/Algebra 1, then synthetic division is probably beyond the scope.  I'm thinking the test intended the student to plot each graph and simply locate the coordinates of the intersection (which WOULD be within the scope of Algebra1).
 
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03/29/17

Tia C.

I was wondering that also, but no graph paper is provided in this section  and calculators are not allowed until the next section.  I was thinking that the answer is not meant to be found by graphing, because it would be very difficult for a student to spend the 5 or 10 minutes allotted for this question creating his or her own graph paper by hand.
 
 This question has available online at the official PARCC pierson website for students to practice at:
 
https://parcc.pearson.com/practice-tests/math/
 
click math, Algebra 1, computer based unit 2, question 2 in noncalculator section...
if anyone wants to view the original question.
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03/29/17

Tia C.

Oh sorry, I was wrong about that! I remembered it as the no calculator section, but it is in the calculator section, sorry. However, the student does not have a graphing calculator to take the test with.
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03/29/17

Kemal G. answered • 03/29/17

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Tia C.

thank you! This was quite advanced for algebra 1, I agree. I am in algebra 2 and helping my little sister.   She is only in eighth grade, but this is one of the practice PARCC questions  on the non-calculator section for Alg 1.  I have never learned synthetic division, I had always learned to factor Cubics by grouping...  so now I have to figure that part out. But the answer and the answer key is 3, so you got it right. Thank you so much for taking the time
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03/29/17

Walter H. answered • 03/29/17

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Tia C.

 I don't think that this is meant to be answered by graphing, and no calculator is allowed in this section ( this is computer based practice test #2, question 2 in PARCC practice online for algebra 1).  Thank you for the suggestion, though. 
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03/29/17

Tia C.

Sorry, my mistake! I remembered it was in the no calculator section, but it is calculator.   But my sister has no graphing calculator to take the test with.
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03/29/17

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