Question

Rewrite the polynomial expression in factored form: 60x4−12x3−135x2+27x

Answer 1

Answer:

3x(2x - 3)(2x + 3)(5x - 1).

Step-by-step explanation:

60x4 − 12x3 − 135x2 + 27x

= 3x(20x^3 - 4x^2 - 45x + 9)    We can factor what's in the parentheses by grouping:

=  3x(4x^2( 5x - 1) - 9(5x - 1))

= 3x (4x^2 - 9)(5x - 1)                 Now we factors  4x^2 - 9:

= 3x(2x - 3)(2x + 3)(5x - 1).