Question

Rachel is using grouping to find the factors of a quadratic expression. She has reached the step shown below. Determine the factored form and the standard form of the quadratic polynomial. Factored form: (3x - 4)(x + 2) Standard form: 3x2 + 2x - 8 Factored form: (3x + 2)(x + 4) Standard form: 3x2 + 2x + 8 Factored form: (3x - 2)(x - 4) Standard form: 3x2 - 2x - 8 Factored form: (3x + 4)(x - 2) Standard form: 3x2 - 2x + 8 Reset Submit Rewriting Expressions: P Unanswered

Answer 1

Factored form: (3x-4)(x+2)

Standard form: 3x^2+2x-8

Explanation:

3x(x+2)-4(x+2)=(3x-4)(x+2)

3x(x+2)-4(x+2)=(3x^2+6x)-(4x+8)

=3x^2+6x-4x-8

=3x^2+2x-8

Answer 2

Answer: First option is correct.

Explanation:

Since we have given that

If the factored form is given by

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

Then its standard form will be given by

`(3x-4)(x+2)\\\\=3x^2+6x-4x+8\\\\=3x^2+2x+8`

if factored form is given by

`(3x+2)(x+4)`

Then its standard form will be given by

`(3x+2)(x+4)\\\\=3x^2+12x+2x+8\\\\=3x^2+14x+8`

Hence, only first option is correct.