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

A3x2 – 4x – 1 = (3x + 1)(x – 1)
B3x2 – 2x – 1 = (3x – 1)(x + 1)
C3x2 – 4x + 1 = (3x – 1)(x – 1)
D3x2 – 2x + 1 = (3x – 1)(x – 1)

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) class=

Verified Answer :

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

frika

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.