Question

HELP PLEASE!! x3-3x2-10x+24 by x-2. fill into other equation

Answer 1

The solution to the division of the given polynomial expression is:

k = (x+3)(x-4)

Division of polynomials

The division of the given polynomial can be determined by using the rational root theorem which is a method that is popularly used in determining the solutions to a polynomial equation.

From the information given:

$\mathbf{\dfrac{x^3 -3x^2 - 10x +24}{x-2}}$

Using the rational root theorem;

$\mathbf{\dfrac{(x-2) \dfrac{x^3 -3x^2 - 10x +24}{x-2} }{x-2}}$

$\mathbf{\dfrac{(x-2)(x^2 -x-12)}{x-2} }}$

Factor: x² - x - 12

$\mathbf{\dfrac{(x-2)(x+3)(x-4)}{x-2} }}$

Cancel out the common factor (x-2)

$\mathbf{=(x+3)(x-4) }}$

Learn more about the division of polynomials here:
brainly.com/question/24662212

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