2x4 + 2x3 – 60x2

Answer 1

To factorise 2x4 + 2x3 - 60x2, we can take out a common factor of 2x2:

2x2(x2 + x - 30)

Now we can factorise the quadratic expression inside the brackets:

2x2(x + 6)(x - 5)

Therefore, the fully factorised form of 2x4 + 2x3 - 60x2 is:

2x2(x + 6)(x - 5)