Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. 8c2 - 26c + 15

Answer 1

(2c - 5) • (4c - 3)

Answer 2

Thus, Factored form of the given polynomial
`8c^2-26c+15` is
`(2c-5)(4c-3)`

Explanation:

Given: Polynomial
`8c^2-26c+15`

We have to factorize the given polynomial
`8c^2-26c+15` completely and then represent it on the grid.

Consider the given polynomial
`8c^2-26c+15`

We will factorize using middle term split method,

-26c can be written as - 6c - 20c

Then the polynomial becomes,

`8c^2-6c-20c+15`

taking 2c common from first two term and -5 common from last two terms, we have,

`2c(4c-3)-5(4c-3)`

Again taking (4c -3) common , we have,

`(2c-5)(4c-3)`

Thus, Factored form of the given polynomial
`8c^2-26c+15` is
`(2c-5)(4c-3)`

Location on grid is shown below in attachment.