How do you factor 75x^3 +150x^2+63x ?

Just to clarify it is 75x to the 3rd power and so on...just wasnt sure if I typed that correctly.

Having diffitculty

Comments

  • Begin by factoring out an x

    the new polynomial will look like this now

    x(75x^2+150x+63)

    now try to factor out a number to reduce the size, if they have a number in common

    they all have the common factor of 3 so factor out 3

    3x(25x^2+50x+21)

    try to further simplify by foiling (since the original polynomial contains only addition the new foiled product must as well)

    3x(5x+3)(5x+7)

    this is the furthest you can factor the given polynomial.

  • I'm sure you pull out the x first and then divide the constant by 3. Then you factor it.

    75x^3+150x^2+63x

    x(75x^2+150x+63)

    3x(25x^2+50x+21)

    3x(5x+7)(5x+3)

    So your answer is: 3x(5x+7)(5x+3)

Sign In or Register to comment.