Question

-424 +122-72+2

Jason tried to find an expression equivalent to the rational expression

by using

202+1

polynomial long division. His work is shown below.

- 2x + 7x

2x + 1) - 4x4 + 12x3 - 7x + 2

-(-4x4 - 2x2)

14x - 7x + 2

- (14x3 + 7x)

-14x + 2


Jason concluded that -202 + 7+ +

-142+2

was equivalent to the rational expression. Jason's

2x+1

conclusion is incorrect.

O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2

He made a mistake by multiplying 2x² + 1 by 2x2

O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2

O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1

+

Need help understanding this ?

Answer 1

The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem. The sum of what was written is -372. There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.

Explanation:

What does "by using

202+1

polynomial long division." mean??

do the numbers after the x's represent exponents?

e.g.: "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"