Factor the given polynomial.
3x² + 5x - 12

= ( x + 3 ) ( 3 x − 4 )

Step-by-step explanation:

Use a version of the AC Method.

A = 3 ,  B =5 ,  C = 12

Since the sign on the constant term is  − , look for a pair of factors of  A C = 36  whose difference is  B = 5

The pair  4 ,  9  works.

Now use that pair to split the middle term, then factor by grouping:

3 x 2 + 5 x − 12  = 3 x

− 4 x + 9 x − 12 = ( 3 x 2 − 4 x ) + ( 9 x − 12 )  = x                                                                              ( 3 x − 4 ) + 3 ( 3 x − 4 )

answer: the center is the median and/or mean of the data. the spread is the range of the data. and, the shape describes the type of graph. the four ways to describe shape are whether it is symmetric, how many peaks it has, if it is skewed to the left or right, and whether it is uniform. good luck

step-by-step explanation: