Question

Consider the quadratic function f(x)=x2-5x+6

Answer 1

Answer:

2 and 3

Step-by-step explanation:

To solve the quadratic, factor and set its factors equal to 0. Factoring is the action of breaking up a polynomial into pieces which multiply to make it. The factors are found by multiplying numbers to make C and add to B of $ax^2+bx+c$.

Here c = 6 and b = -5. The numbers -3 and -2 multiply to 6 and add to -5. These are the factors (x-3)(x-2).

Set each equal to 0 and solve for x.

x-3 = 0

x = 3

x-2 =0

x = 2