Question

f(x)=(x^2+2x-8)(x-6)

Answer 1

Simplifying

f(x) = (x2 + 2x + -8)(x + -6)

Multiply f * x

fx = (x2 + 2x + -8)(x + -6)

Reorder the terms:

fx = (-8 + 2x + x2)(x + -6)

Reorder the terms:

fx = (-8 + 2x + x2)(-6 + x)

Multiply (-8 + 2x + x2) * (-6 + x)

fx = (-8(-6 + x) + 2x * (-6 + x) + x2(-6 + x))

fx = ((-6 * -8 + x * -8) + 2x * (-6 + x) + x2(-6 + x))

fx = ((48 + -8x) + 2x * (-6 + x) + x2(-6 + x))

fx = (48 + -8x + (-6 * 2x + x * 2x) + x2(-6 + x))

fx = (48 + -8x + (-12x + 2x2) + x2(-6 + x))

fx = (48 + -8x + -12x + 2x2 + (-6 * x2 + x * x2))

fx = (48 + -8x + -12x + 2x2 + (-6x2 + x3))

Combine like terms: -8x + -12x = -20x

fx = (48 + -20x + 2x2 + -6x2 + x3)

Combine like terms: 2x2 + -6x2 = -4x2

fx = (48 + -20x + -4x2 + x3)

Solving

fx = 48 + -20x + -4x2 + x3

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.

f = 48x-1 + -20 + -4x + x2

Simplifying

f = 48x-1 + -20 + -4x + x2

Reorder the terms:

f = -20 + 48x-1 + -4x + x2