factor the polynomial a^4+4a^3b-5b^2b^2

Question

1. simplify the expression. use positive exponent. Assume variable represent non zero real number (-9)(-9)^4(-9)(-9)(-9)^2

 

2.Divide (15x^2-11x^2-22x-6) divide (-5x-3)

 

3. factor the polynomial a^4+4a^3b-5b^2b^2 

Answer 1

1)

 

 

Note that -9 is being multiplied by itself.  We simply add the exponents.

 

(-9)⁹

 

 

2)

 

I think you meant 15x³ rather than 15x².

Use long division.

 

 

                           -3x² + (21/5)x + (47/25)

              ___________________

(-5x - 3) | 15x³ - 11x² - 22x - 6

                15x³ + 9x²                                                  subtract and bring down the next term

                _____________

                         -21x² - 22x

                         -21x² - (63/5)x                      subtract and bring down the next term.

                        _______________

                                     (-47/5)x - 6

                                     (-47/5)x - (47/25)

                                    ________________

                                                   -103/25

 

Quotient = -3x² + (21/5)x + (47/25)

Remainder = -103/25

 

 

3)  You need to write this question.