25.6k views
17 votes
(12x^3 - 2x^2 - 12x + 3) ÷ (4x+2)
find quotient
find remainder

User PhilMasteG
by
8.0k points

1 Answer

4 votes

Answer:

quotinet = 3x² - 2x - 2

remainder = 7

Explanation:

12x³ - 2x² - 12x + 3

= 3x²(4x + 2) - 6x² - 2x² - 12x + 3

= 3x²(4x + 2) - 8x² - 12x + 3

= 3x²(4x + 2) - 2x(4x + 2) + 4x - 12x + 3

= 3x²(4x + 2) - 2x(4x + 2) - 8x + 3

= 3x²(4x + 2) - 2x(4x + 2) - 2(4x + 2) + 4 + 3

= 3x²(4x + 2) - 2x(4x + 2) - 2(4x + 2) + 7

= (4x + 2)(3x² - 2x - 2) + 7

so

quotinet = 3x² - 2x - 2

remainder = 7

User Curtis Yallop
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories