Question

Use the Grouping Method or Box Method to factor completely 4x2 -10x - 6.
Show ALL work.

Answer 1

16x -16x

Explanation:

Multiply 4^2 equals to 16x.

Multiply -10x -6 equals -16x.

16x = -16x

(If You Want To Know The Product Of This Answer It Is -256

HOPE I HELP YOU CORRECTLY!!!

Answer 2

`2(2x + 1)(x - 3)`

Explanation:

Hello!

The Standard Form of a Quadratic:
`ax^2 + bx + c = 0`

We can compare it to the equation given:

• a = 4
• b = -10
• c = -6

We want to first find two numbers that multiply to
`ac` but add up to
`b`.

• ac = 4 * -6 = -24
• b = -10

The two numbers are -12 and 2.

Expand the -10x to -12x and 2x:

• 
  `4x^2 - 12x + 2x - 6`

Now we can factor by grouping the first two and last two terms.

Factor by Grouping

• 
  `4x^2 - 12x + 2x - 6`
• 
  `4x(x - 3) + 2(x - 3)`
• 
  `(4x + 2)(x - 3)`

The first factor can still be factorable, as both terms can be divided by 2.

• 
  `(4x + 2)(x - 3)`
• 
  `2(2x + 1)(x - 3)`

The final factored form is
`2(2x + 1)(x - 3)`