Respuesta :
Answer:
Ginny made a mistake in step 1 when she identified b = 31. It should be b=-31
Step-by-step explanation:
Ginny factored [tex]6x^2 -31x -30[/tex] as shown:
ac = –180 and
b = 31
36(–5) = –180 and 36 + (–5) = 31
[tex]6x^2[/tex] + 36x – 5x – 30
6x(x + 6) – 5(x + 6)
(x + 6)(6x – 5)
b is the coefficient of x and from the trinomial [tex]6x^2 -31x -30[/tex], b=-31.
Therefore Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
The correct steps are: [tex]6x^2 -31x -30[/tex]:
ac = –180 and
b = -31
36(–5) = –180 and -36+5 = -31
[tex]6x^2-36x +5x -30[/tex] Â
[tex]6x(x-6)+5(x-6)[/tex]
[tex](x-6)(6x+5)[/tex]