OPTIONS:

1. A, B,C, D

2. A, B,C, D

3.A, B,C, D

(THE ANSWERS I PICKED ARE NOT CORRECT)

You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³

(4x³ - 4 + 7x) - (2x³ - x - 8)        Distribute -1 into (2x³ - x - 8)

(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8   (two negative signs cancel each other out and become positive)

(4x³ - 4 + 7x) - 2x³ + x + 8    Now combine like terms

4x³ - 2x³ + 7x + x - 4 + 8     (I rearranged for the like terms to be next to each other)

2x³ + 8x + 4       It is equivalent to B

      Combine like terms

   (I rearranged for the like terms to be next to each other)

   It is equivalent to D

(x² - 2x)(2x + 3)      Distribute x² into (2x + 3) and distribute -2x into (2x + 3)

(x²)2x + (x²)3 + (-2x)2x + (-2x)3

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together

2x³ + 3x² - 4x² - 6x      Combine like terms

2x³ - x² - 6x         It is equivalent to A

[Info]

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)

For example:

        (You can't combine them because they have different exponents of y and x)

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

answer: -8.2562234e+13