Question

One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x 16 is (x – 2). what are all the roots of the function? use the remainder theorem.

Answer 1

The factor of the function will be (x - 1), (x - 2), and (x + 2). Then the roots of the function will be 1, 2, and negative 2.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

f(x) = 4x³ - 4x² - 16x + 16

Then the factor of the function will be

f(x) = 4x²(x - 1) - 16(x - 1)

f(x) = 4(x - 1) (x² - 4)

f(x) = 4(x - 1) (x² - 2²)

f(x) = 4(x - 1)(x - 2)(x + 2)

Then the roots of the function will be

x = 1, 2, -2

More about the factorization link is given below.

brainly.com/question/6810544

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