SOLUTION: Find the product of (2x2 + 7x - 4) with the quotient of (36x5 + 9x4 + 18x3) � 3x3. How i would go back about setting the problem up? Please don't give me the answer. I just wan

Question 149806This question is from textbook
: Find the product of (2x2 + 7x - 4) with the quotient of (36x5 + 9x4 + 18x3) � 3x3.
How i would go back about setting the problem up? Please don't give me the answer. I just want to understand how to set the problem up. Thank you This question is from textbook

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Think of it this way, there are two parts:
Part 1: "product" (multiplication)
Part 2: "quotient" (division)
.
Concentrate on Part 2 FIRST!
(36x^5 + 9x^4 + 18x^3) � 3x^3
We can "distribute" the division to EACH term inside the parenthesis:
= (36x^5 � 3x^3) + (9x^4 � 3x^3) + (18x^3 � 3x^3)
Now, looking at just the numbers, we can reduce thus:
= (13x^5 � x^3) + (3x^4 � x^3) + (6x^3 � x^3)
Now, looking at the x's, we can reduce thus:
= (13x^2) + (3x) + (6)
Resulting in:
= 13x^2 + 3x + 6
.
Finally, we do Part 1:
(2x^2 + 7x - 4)(13x^2 + 3x + 6)
Multiply each term inside the first parenthesis with each term in the second:
= (26x^4 + 6x^3 + 12x^2) + (91x^3 + 21x^2 - 24) + (-52x^2 - 12x - 24)
Now, group like-terms:
= 26x^4 + (6x^3 + 91x^3) + (12x^2 + 21x^2 - 52x^2) + (- 24- 24)
= 26x^4 + (97x^3) + (-19x^2) + (-48)
= 26x^4 + 97x^3 - 19x^2 - 48

RELATED QUESTIONS
Find the product of (x2 - 3x + 5) with the quotient of (27x6 - 36x5 - 9x3) � 9x3. (answered by MathLover1)

Find the product of (x2 - 3x + 2) with the quotient of (6x6 - 9x5 - 3x3) �... (answered by rfer)

1) Find the product of (x^2 - 3x + 2) with the quotient of (6x6 - 9x5 - 3x3) � 3x3. (answered by ankor@dixie-net.com)

Using complete sentences, describe how you would find all possible rational zeros of the... (answered by stanbon)

Using complete sentences, describe how you would find all possible rational zeros of the... (answered by jsmallt9)

find two consecutive page numbers in a book such that the sum of the page numbers is 11... (answered by mananth)

Use properties of logarithms to write the expression in terms of x,y,z. How would I go... (answered by stanbon)

the difference of (2x2 - 3x3) - (8x2 -... (answered by 2897696)

Using complete sentences, describe how you would find all possible rational zeros of the... (answered by josgarithmetic)