SOLUTION: Can you help me answer this question and explain the process of what you have done, so I can complete the remaining questions. The questions is : Determine the remainder, r,

Question 135106This question is from textbook Advanced Functions & Introductory Calculus
: Can you help me answer this question and explain the process of what you have done, so I can complete the remaining questions.
The questions is :
Determine the remainder, r, so that the division statement is true.
a) (2x-3)(3x-5)+ r = 6x^2 + x + 5 This question is from textbook Advanced Functions & Introductory Calculus

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First of all, you have an error in the statement of the problem:
You show:

And it should be

Use polynomial long division or synthetic division to divide
by either or .

goes into times. So is the first term of your quotient.

times is

Subtract from resulting in (remember, change the sign and add)

Bring down the

goes into times. So is the second term of your quotient.

times is

Subtract from resulting in which is your remainder.

So:

Check the answer:
Checks.

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