Question

The tiles show a factorization of 4x^2+6x+2. Write the factorization shown by the tiles.

Answer 1

Answer:

2(x + 1)(2x + 1)

Step-by-step explanation:

$y = 2(2x^2 + 3x + 1)$

Factor the trinomial in parentheses.

Since a - b + c = 0, use shortcut. One real root is -1 and the factor is (x + 1). The other root is: $\frac{-c}{a}= -1/2$

and the factor is $(x+\frac{1}{2})$

Factor form of y:

y = 2(x + 1)(2x + 1)

Answer 2

Answer:

  (2x +1)(2x +2)

Step-by-step explanation:

One factor is the sum of the tiles across the top of the figure: x+x+1 = 2x+1.

The other factor is the sum of the tiles down the left side of the figure: x+x+1+1 = 2x+2.

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The factorization shown by the tiles is ...

  4x^2 +6x +2 = (2x +1)(2x +2)