Question

Trinomial in standard form?

Answer 1

Ur answer is below in the photo

Answer 2

`\sf (11)/(4)x^2 + 17x -21`

Explanation:

Trinomial in standard form: ax² + bx + c.

Use FOIL method to find (3x - 4)(x +7).

(3x -4 )(x +7) = 3x*x + 3x*7 + (-4)*x + (-x)*7

= 3x² + 21x - 4x - 21

Combine like terms. Like terms have same variable with same power.

Here, 21x and (-4x) are like terms. 21x - 4x = 17x

= 3x² + 17x - 21

`\sf (3x - 4) (x + 7) -(1)/(4)x^2 = 3x^2 + 17x - 21 - (1)/(4)x^2`

`\sf = 3x^2 - (1)/(4)x^2 + 17x - 21 ~~ \{ \bf combine \ like \ terms \}\\\\\\=(12)/(4)x^2-(1)/(4)x^2+17x - 21\\\\\\=(11)/(4)x^2 + 17x -21`