You can
put this solution on YOUR website!Solve by factoring:
Rewrite in standard form.
The factors will be in the form: (2x+a)(x+b)
Look at the first term
and determine that the obvious factors are:
Now look at the last (constant) term and determine the factors (a and b) of -33.
The choices are:
(a)(b)
(-1)(33) = -33
(1)(-33) = -33
(3)(-11) = -33
(-3)(11) = -33
Choose the pair from the above list such that: 2b+a = -19 which is the coefficient of the middle term of the rewritten quadratic equation.
The obvious choice is: a = 3 and b = -11 since 2(-11) + 3 = -22 + 3 = -19
Now you can write the factors of your quadratic equation:
Now you can solve the quadratic equation.
Apply the zero products principle.
and/or
If
then
and
If
then
The roots are:
(