Question

2x^3+x^2-3x and x^3-x hcf

Answer 1

Answer:

x² - 2x - 3 = (x+1)(x-3) ;

x² + 3x+2 = (x+1)(x+3)

LCM = (x+1)(x-3)(x+3)

HCF = (x+1)

Step-by-step explanation:

Answer 2

Answer:

x(x-1)

Step-by-step explanation:

2x^3+x^2-3x can be written as x[2x^2+x-3]

Factorise the quadratic equation

=x[2x^2+3x-2x-3}

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

x^3-x can be written as x(x^2-1)

=x(x-1)(x+1)

Take out the common factors

And here's the answer

x(x-1)