Question

The model represents a polynomial of the form ax2 + bx + c. Which equation is represented by the model?

a. 3x2 – 4x – 1 = (3x + 1)(x – 1)
b. 3x2 – 2x – 1 = (3x – 1)(x + 1)
c. 3x2 – 4x + 1 = (3x – 1)(x – 1)
d. 3x2 – 2x + 1 = (3x – 1)(x – 1)

Answer 1

the answer is C because if you do 3x*x that= 3x2 then 3x*-1= -3x then you do the other side and that is -1*x= -1x and -1*-1= +1 so your answer comes out as 3x^2- 4x+1

Answer 2

Consider the given table.

• The first row represents first term (first brackets):

+x+x+x-1=3x-1

• The first column represents second term (second brackets):

+x-1=x-1

• The product of (3x-1) and (x-1) is equal to the sum of all remaining terms in this table:

+x²+x²+x²-x-x-x-x+1=3x²-4x+1.

Therefore, 3x²-4x+1=(3x-1)(x-1).

Answer: correct choice is C.