Question

Select the correct answer.

Using long division, what is the quotient of this expression?
+43
+42³-52² + 2-3
-3
O A.
OB.
O c.
OD.
x² + 3x - 5
152-18
x² + 3x - 5 + 354183
x² + 18 - 23
x² + 3x - 5152-183
z³+2-3

Answer 1

To divide the expression
`x^4+4x^3-5x^2+x-3` by
`x^2+x-3`, we can use long division. The quotient is
`x^2 + 3x - 5.`

To divide the expression
`x^4+4x^3-5x^2+x-3` by
`x^2+x-3`, we can use long division.

Here are the steps:

First, divide the highest degree terms of the numerator and denominator, which is
`x^4 / x^2 = x^2.`

Multiply the result by the denominator:
`x^2 * (x^2+x-3) = x^4 + x^3 - 3x^2.`

Subtract this product from the numerator:
`(x^4+4x^3-5x^2+x-3) - (x^4 + x^3 - 3x^2) = 3x^3 - 2x^2 + x - 3.`

Repeat the process with the remaining terms until there are no more terms to bring down.

Continuing the division, we get the quotient:
`x^2 + 3x - 5` as the final answer.

Select the correct answer.

Using long division, what is the quotient of this expression?

x^4+4x^3-5x^2+x-3/x^2+x-3

A. x² + 3x - 5

B. x² + 3x - 5 + 15x-18/x^2+x-3

C. x² + 18x - 23

D. x² + 3x - 5-15x-18/x^2+x-3