I am lazy, so I use the discriminant and the quadratic equation to solve these instead of factoring.
b^2 -4ac
(-2)^2 -4(3)(-2)
= 28 bigger than 1 and two real roots
X = -b +/- sqrt(b^2-4ac)/2a
X = -(-2) +/- sqrt[(-2)^2 - 4(3)(-2)]/2(3)
X = [2 +/- sqrt(28)]/6
this is exact, less factoring, but approximately........
X = 1.215
X = -0.5486
Zero Product Property
x squared -2x-3 equals 0 is the same as (x + 1)(x - 3) = 0
Suppose x3-4x = 0. To solve, factor: x3-4x = x(x2-4) = x(x+2)(x-2) = 0 Now, a product equals 0 if and only one or more of the factors equals 0, so set each factor to 0 and solve. The roots are 0,-2 and +2.
(x + 6)(x - 6)
No, there cannot be a zero in any scale factor.
Yes.
a(-14-a) = 0 so a = 0 or a = -14
100x2-81
4(x + 1) = 0.
D is the choice that is not true.
Zero Product Property
2(m - 25)
x squared -2x-3 equals 0 is the same as (x + 1)(x - 3) = 0
Suppose x3-4x = 0. To solve, factor: x3-4x = x(x2-4) = x(x+2)(x-2) = 0 Now, a product equals 0 if and only one or more of the factors equals 0, so set each factor to 0 and solve. The roots are 0,-2 and +2.
(n + 4)(n - 4)
(x + 6)(x - 6)
No, there cannot be a zero in any scale factor.