Question

Where does the graph of y = 6x2 + 5x − 6 cross the x-axis?

(−1/6, 0) and (6, 0)

(1/6, 0) and (−6, 0)

(2/3, 0) and (−, 0)

(−2/3, 0) and (, 0)

Answer 1

you can try plugging in each of the above values to see if they fit
or try to factor it

Answer 2

it will factor

Answer 3

to (3x - _ )(2x + _ )

can you fill in the blanks

Answer 4

not sure how

Answer 5

you need 2 numbers a and b where a * b = -6 (the last term in trinomial)
and where 3b - 2b = +5 ( the middle term +5x)

Answer 6

they are -2 and 3
so factors are

(3x - 2)(2x + 3)

Answer 7

(3x - 2)(2x + 3) = 0
so solve for x