College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Select the correct answer.

Which quadratic expression represents the product of these factors?
[tex] (2x + 5)(7 - 4x) [/tex]

A. [tex] -8x^2 - 6x + 35 [/tex]
B. [tex] -8x^2 - 34x + 35 [/tex]
C. [tex] -8x^2 + 34x - 35 [/tex]
D. [tex] -8x^2 + 6x - 35 [/tex]

Answer :

Factoring

To find the product of the factors [tex](2x + 5)(7 - 4x)[/tex], we use the FOIL method (First, Outer, Inner, Last):

First: [tex](2x)(7) = 14x[/tex]

Outer: [tex](2x)(-4x) = -8x^2[/tex]

Inner: [tex](5)(7) = 35[/tex]

Last: [tex](5)(-4x) = -20x[/tex]

Combine the terms:

[tex]14x - 8x^2 + 35 - 20x = -8x^2 - 6x + 35[/tex]

Final answer:

  • Therefore, the correct quadratic expression is A. -8x² - 6x + 35

Other Questions