The points plotted below are on the graph of a polynomial. in what range of x-values must the polynomial have a root? check all that apply.

a. 2.5 to 3.5
b. 3.5 to 4.5
c. 5.5 to 6.5
d. -2.5 to -1.5
e. -1.5 to -0.5
f. 1.5 to 2.5

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).