Question

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

100 POINTS IF ANSWERED RIGHT AWAY!!!!!!

Answer 1

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

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).