solve: 2x^2-18x+28 please
i need the steps on how to factor this polynomial by grouping please
Simplicity requires that the coefficient of x^2 be 1, so divide the terms by 2:
x^2 - 9x + 14
For "grouping," you start by listing the factors of 14:
1 * 14
2 * 7
Choose factors that add up to the coefficient of x, i.e, 9
In this case, 2 and 7 satisfy that requirement
Rewrite x^2 - 9x + 14 as x^2 - 7x - 2x + 14
Group them like this: (x^2 - 7x) + (-2x + 14)
Factor out an x from the first group
x * (x - 7) + (-2x + 14)
Then, factor out a -2 from the second group
x * (x - 7) + (- 2) * (x - 7)
Finally, factor out the (x - 7)
(x - 7) * (x - 2)