Factor this trinomial completely.

–12x2 + 45x + 12

A. –12x2 + 45x + 12
–3(4x2 + 15x – 4)
–3(4x – 1)(x + 4)
B. –12x2 + 45x + 12
–3(4x2 + 17x + 4)
–3(4x + 1)(x + 4)
C. –12x2 + 45x + 12
–3(4x2 – 15x – 4)
–3(2x + 1)(2x – 4)
D. –12x2 + 45x + 12
–3(4x2 – 15x – 4)
–3(4x + 1)(x – 4)

Respuesta :

answer is -3(4x2-15x-4

The correct answer is option D which is the factor of the given equation is

–12x² + 45x + 12

–3(4x² – 15x – 4)

–3(4x + 1)(x – 4).

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as:-

E = -12x² + 45x + 12

E = -3 ( 4x² - 15 x - 4 )

E = -3 ( 4x² + x -16x - 4 )

E = -3 [x(4x+1)-4(4x+1)]

E = -3 (4x + 1) (x - 4 )

Therefore  correct answer is option D which is the factor of the given equation is

–12x² + 45x + 12

–3(4x² – 15x – 4)

–3(4x + 1)(x – 4).

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