Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring:
b.) b^2 − 4ac
use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:
2x^2 + 7x + 3 = 0
if it intersects the x axis, then y = 0. this is not possible, as you can plug in x to be 1/100000000000000000000000000000000000, or something very tiny, but it will never get 0. so, a is not a choice.
this also means b is not a choice.
if c is a choice, then it does not intercept the y axis, or x cannot be 0. this is not true, because (0, 1) is on the graph.
finally, we have d. it intercepts the y axis (we have proven this in c). so, this is the only answer choice that is correct.
15(x - 4)(x -1)-3(x + 4)(x - 1)
we can factor out a 3 from both terms
3 ( 5(x - 4)(x - + 4)(x - 1))
we can also factor out (x-1)
3(x-1) [5(x - + 4)]
distribute inside the brackets
3(x-1) [5x-20 -x-4]
combine like terms
we can factor out a 4