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HELP NEEDED ASAP NO LINKS AND NO JOCKING AROUND!!!!

Multiply
x^2+3x+2

* 2x^+3x-1

____________


A. 2x^4+9x^2-2


B. 3x^2+6x+1


C. 2x^4+21x^2+3x+2


D.2x^4+9x^3+12x^2+3x-2

2 Answers

9 votes


\\ \tt\longmapsto (x^2+3x+2)(2x^2+3x-1)

Apply distributive law

  • a(b+c)=ab+ac


\\ \tt\longmapsto x^2(2x^2+3x-1)+3x(2x^2+3x-1)+2(2x^2+3x-1)


\\ \tt\longmapsto 2x^4+3x^3-x^2+6x^3+9x^2-3x+4x^2+6x-2


\\ \tt\longmapsto 2x^4+9x^3+12x^2+3x-2

User Girish Kolari
by
3.5k points
7 votes

Answer:

  • D. 2x⁴ + 9x³ + 12x² + 3x - 2

Explanation:

Multiply:

  • (x² + 3x + 2)(2x² + 3x - 1) =
  • x²(2x² + 3x - 1) + 3x(2x² + 3x - 1) + 2(2x² + 3x - 1) =
  • 2x⁴ + 3x³ - x² + 6x³ + 9x² - 3x + 4x² + 6x - 2 =
  • 2x⁴ + 9x³ + 12x² + 3x - 2

Correct choice is D

User Ismael Luceno
by
3.4k points