Question

Which student factored the expression x3 - 3x + x2 - 3 correctly based on their answer below?

Jane: (x - 1)(x2 - 3)
Mariah: (x + 1)(x2 + 3)
Roger: (x + 1)(x2 - 3)
Nethan: (x - 1)(x2 + 3)

Jane
Mariah
Roger
Nethan

Answer 1

Jane: (x - 1)(x² - 3) = x³ - 3x - x² + 3

Mariah: (x + 1)(x² + 3) = x³ + 3x + x² + 3

Roger: (x + 1)(x² - 3) = x³ - 3x + x² - 3

Nethan: ((x - 1)(x² + 3) = x³ + 3x - x² - 3

In short, Your Answer would be: Option C) Roger

Hope this helps!

Answer 2

x3 - 3x + x2 - 3

= x^3 + x^2 - 3x - 3

= (x^3 + x^2) - (3x + 3)

= x^2(x + 1) - 3(x + 1)

= (x^2 -3)(x + 1) = (x + 1)(x2 - 3)

so ans is Roger