Question

if x-1 is a factor of P(x)=x^3-5x^2+7x-3, which of the following represents the complete factorization for P(x)?

Answer 1

A.) (x-1)(x+3)(x+1)
B.) (x-3)(x-1)(x-1)
C.) (x-3)(x+3)(x-1)
D.) (x-3)((x-1) (x+1)

Answer 2

you may divide x^3-5x^2+7x-3 by x-1 and compare the quotient

Answer 3

other wise use factor remainder theorem

Answer 4

or you may factorise completetly

Answer 5

which one is easier?

Answer 6

using division

Answer 7

but i may show u by factoring

Answer 8

x^3-5x^2+7x-3
=x^3 -x^2 -4x^2 +4x +3x - 3
=x^2(x-1)-4x(x-1) +3(x-1)
=(x-1)(x^2-4x+3)

Answer 9

=(x-1)(x^2-4x+3)
=(x-1)(x^2 -x-3x+3)
=(x-1)(x(x-1)-3(x-1))
=(x-1)(x-1)(x-3)

Answer 10

so B?

Answer 11

at least u should be sure of that ...

Answer 12

thanks :D

Answer 13

yw