HRS - Ask. Learn. Share Knowledge. Logo

In Mathematics / High School | 2014-05-03

How can [tex]b^2 + 9b + 14[/tex] be re-written?

1) \((b + 7)(b - 7)\)

2) \((b - 7)(b - 2)\)

3) \((b + 7)(b - 2)\)

4) \((b + 7)(b + 2)\)

Asked by CaroHer

Answer (2)

b 2 + 9 b + 14 = = b 2 + 9 b − 2 b + 2 b + 14 = = b 2 + 7 b + 2 b + 14 = = b ( b + 7 ) + 2 ( b + 7 ) = = ( b + 7 ) ( b + 2 ) A n s w er : 4. ) ( b + 7 ) ( b + 2 )

Answered by Lilith | 2024-06-10

The expression b 2 + 9 b + 14 can be factored as ( b + 7 ) ( b + 2 ) . Therefore, the correct multiple-choice option is 4. This is derived from finding two numbers that multiply to 14 and add to 9 .
;

Answered by Lilith | 2024-11-04

Related Questions in Mathematics

[Done] Select the correct answer. Which equation is equivalent to the given equation? [tex]$x^2-6 x=8$[/tex] A. [tex]$(x-6)^2=44$[/tex] B. [tex]$(x-3)^2=17$[/tex] C. [tex]$(x-6)^2=20$[/tex] D. [tex]$(x-3)^2=14$[/tex]

[Done] Which phrase best describes the translation from the graph [tex]y=6 x^2[/tex] to the graph of [tex]y=6(x+1)^2[/tex]? A. 6 units left B. 6 units right C. 1 unit left D. 1 unit right

[Done] What expression is equivalent to [tex]$\left(5 z^2+3 z+2\right)^2$[/tex] ? A. [tex]$5 z^4+3 z^2+4$[/tex] B. [tex]$5 z^4+9 z^2+4$[/tex] C. [tex]$25 z^4+30 z^3+19 z^2+12 z+4$[/tex] D. [tex]$25 z^4+30 z^3+29 z^2+12 z+4$[/tex]

[Done] The graph of [tex]y=\frac{5}{4} x+1[/tex] is shown below. The coordinate ([tex]0, y[/tex]) is a solution of the equation. Given the [tex]x[/tex]-value of 0, what is the value of the [tex]y[/tex]-coordinate for the coordinate ([tex]0, y[/tex])? [tex]y=[/tex] [blank]

[Done] If [tex]f(-2)=0[/tex], what are all the factors of the function [tex]f(x)=x^3-2 x^2-68 x-120[/tex]? Use the Remainder Theorem. A. [tex](x+2)(x+60)[/tex] B. [tex](x-2)(x-60)[/tex] C. [tex](x-10)(x+2)(x+6)[/tex] D. [tex](x+10)(x-2)(x-6)[/tex]