What is the completely factored form of f(x) = x^3 - 7x^2 + 2x + 4

f(x)=(x-1)(x²-6x-4)

Step-by-step explanation:

f(x) = x³-7x²+2x+4

using trial

and error

method

f(1) = 1³-7(1)²+2(1)+4

= 7-7

= 0

∴ (x - 1) is a factor of f(x)

f(x) = (x-1)(x² + bx - 4)

= x³+bx²-4x-x²-bx+4

= x³+(b-1)x²+(-4-b)x+4

comparing the

coefficients

x² => b-1 = -7

b = -6

x => -4-b = 2

-b = 6

b = -6

∴f(x) = (x-1)(x²-6x-4)

mental cunning

explanation:

he is often referred to as a man of twists and turns