Question

Factor completely and then place the factors in the proper location on the grid. 8y 2 + 6y + 1

Answer 1

Answer:

Factored form the given quadratic equation $8y^2+6y+1$ is  $(2y+1)(4y+1)$

Step-by-step explanation:

Given : $8y^2+6y+1$

We  have to factorize the given equation completely and place the factors in the proper location on the grid.

Consider the given quadratic equation $8y^2+6y+1$.

We solve the given quadratic equation using middle term splitting method,

6y can be written as 4y + 2y , then equation becomes,

$8y^2+6y+1=8y^2+4y+2y+1$

Taking 4y common from first two term and 1 common from last two term , we have,

$\Rightarrow 4y(2y+1)+1(2y+1)$

$\Rightarrow (2y+1)(4y+1)$

Thus, factored form the given quadratic equation $8y^2+6y+1$ is  $(2y+1)(4y+1)$

The placement of the factors in the proper location on the grid is shown in figure attached below.

Answer 2

(2y + 1)(4y + 1)
 Hope this helps