Question

Divide f(x) by d(x), and write a summary statement in the form indicated.

f(x) = x^4 + 5x^3 - 2x^2 + 5x - 3; d(x) = x^2 + 1

Answer 1

f(x)/d(x)
= (x^4 + 5x^3 - 2x^2 + 5x-3) / (x^2 + 1)

you have to do this by long division:

.........................x^2 + 5x - 3
............ __________________________
x^2 + 1 ) x^4 + 5x^3 - 2x^2 + 5x - 3
............-(x^4 + 0x^3 + x^2) <---Note this is (x^2 +1)*x^2
......................5x^3 - 3x^2 + 5x
....................-(5x^3 +0x^2 + 5x) <---this is (x^2 +1)*5x
...............................-3x^2 + 0x - 3
.............................-(-3x^2 + 0x - 3) <and this is (x^2 +1)*(-3)
......................................…


So after dividing, you end up with:
x^2 + 5x -3

Answer 2

This is the answer I have that is similar to yours f(x) = (x^2 + 1)( x^2 + 5x - 3)

Answer 3

Is that correct?

Answer 4

please click best response.