3)
Jacob incorrectly factored 5x2−11x+2
using the following steps.
Step 1: 5x2−(10x+x)+2
Step 2: (5x2−10x)+(x−2)
Step 3: 5x(x−2)+1(x−2)
Step 4: (5x+1)(x−2)
In which step did he first make an error?
(1 point)
Responses
In Step 1 because the expression inside the parentheses needs to have a sum of −11x
, not 11x
.
In Step 1 because the expression inside the parentheses needs to have a sum of negative 11 x, not 11 x .
In Step 2 because the sign on x
should be negative and the sign on 2 should be positive.
In Step 2 because the sign on x should be negative and the sign on 2 should be positive.
In Step 3 because there is no need to multiply (x−2)
by 1.
In Step 3 because there is no need to multiply open paren x minus 2 close paren by 1.
In Step 4 because (x−2)
should be written first.
In Step 1 because the expression inside the parentheses needs to have a sum of −11x, not 11x.
4)
The total area, in square inches, of a picture in a picture frame is calculated by the expression of 4x2+16x+15
, where x
is the width of the picture frame. Which of the following are factors of 4x2+16x+15
?
Select all that apply.
(2 points)
Responses
(x+5)
open paren x plus 5 close paren
(4x+3)
open paren 4 x plus 3 close paren
(2x+3)
open paren 2 x plus 3 close paren
(4x+1)
open paren 4 x plus 1 close paren
(x+1)
open paren x plus 1 close paren
(2x+5)
open paren 2 x plus 5 close paren
(4x+15)
open paren 4 x plus 15 close paren
(2x+15)
The factors of 4x^2 + 16x + 15 are:
(x + 3)(4x + 5)
Select all that apply.
(2 points)
Responses
(x+5)
open paren x plus 5 close paren
(4x+3)
open paren 4 x plus 3 close paren
(2x+3)
open paren 2 x plus 3 close paren
(4x+1)
open paren 4 x plus 1 close paren
(x+1)
open paren x plus 1 close paren
(2x+5)
open paren 2 x plus 5 close paren
(4x+15)
open paren 4 x plus 15 close paren
(2x+15)
Factors of 4x^2 + 16x + 15 are:
(x + 1)(4x + 15)
(x + 5)(4x + 3)