Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Describe the steps you would use to factor
2x3 + 5x2 - 8x - 20 completely. Then state the
factored form.
I

Sagot :

nifer5126

Answer:

Factor by Grouping

2[tex]x^{3}[/tex] + 5[tex]x^{2}[/tex]  - 8x - 20

2[tex]x^{3}[/tex] + 5[tex]x^{2}[/tex]

[tex]x^{2}[/tex] (2x + 5)

-8x - 20

-4 (2x + 5)

(2x + 5) ([tex]x^{2}[/tex] - 4)

(2x + 5) (x - 2) (x + 2)

Solution:

  • 2x³ + 5x² - 8x - 20

Putting the terms, which have something in common, in brackets:

  • (2x³ + 5x²) - (8x - 20)

Factor them by taking the common terms outside the bracket.

  • => x²(2x + 5) - 4(2x + 5)

Factor by taking the common expression out of the brackets:

  • => (2x + 5)(x² - 4)

The multiplier (x² - 4) is in squared form.

Square root the multiplier of (2x + 5)(x² - 4), aka (x² - 4):

  • => (2x + 5)(x - 2)(x + 2)

The factorized form is (2x + 5)(x - 2)(x + 2).

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.