Which Of The Following Is The Factored Form Of X^3 + 3x^2 2013 10x 2013 24?, A. (X + 4)(X 2013 3)(X + 2) , B. (X 2013 4)(X 2013 3)(X 2013 2) , C. (X 2

Which of the following is the factored form of x^3 + 3x^2 – 10x – 24?

a. (x + 4)(x – 3)(x + 2)
b. (x – 4)(x – 3)(x – 2)
c. (x – 4)(x – 3)(x + 2)
d. (x + 4)(x + 3)(x – 2)

 

Factoring Polynomials:

Listing Method:

The factored form of x³ + 3x² – 10x – 24 is (x + 4)(x – 3)(x + 2).

Solution:

  1. List all the possible factors of the first term.

       x³ = (x)(x)(x)

   2. List all the possible factors of the last term.

       -24 = (1)(-24); (-1)(24); (2)(-12); (-2)(12); (3)(-8); (-3)(8); (4)(-6); (-4)(6)

   3. From the list above, form the factors. Make sure that the 3 factors of  

       -24 will have a sum of -10 which is the middle term of the given

        polynomial.

        (x + 2)(x – 3)(x + 4)  

    4. To check multiply (x + 2)(x – 3)(x + 4).

         x + 2

         x – 3

         x² + 2x

                -3x – 6

         x² – x – 6

                 x + 4

        x³ – x² – 6x

             4x² – 4x – 24

      x³ + 3x² – 10x - 24

Definition:

    A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, with exponents which are not negative numbers.

Code: 10.3.1.2

For more details regarding division of polynomials, go to the following links:

brainly.ph/question/301552

brainly.ph/question/1998303

brainly.ph/question/2004404


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