Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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).

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.