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Use the Quadratic Formula to solve: x^2 + 4x - 12
The Quadtratic Formula is: x = [-b + sqrt(b^2 - 4ac)]/2a and x = [-b - sqrt(b^2 - 4ac)]/2a Find a, b, and c values of the equation: ax^2 + bx + c 1x^2 + 4x + -12 a: 1 b: 4 c: -12 Plug these values into the quadratic formula (BOTH the plus and minus versions!) Solutions: x = -6 x = 2
Use the FOIL method to factor the polynomial: 6x^2 + 35x + 36.
FOIL stands for First, Outer, Inner, and Last. Take the first group of numbers, 6x^2. The factors of 6x^2 are 6x and 1x or 2x and 3x. Take the last group of numbers, 36. The factors of 36 are 6 and 6, 9 and 4, 2 and 18, 3 and 12, or 36 and 1. Set up the factors in the form (__ + __)(__ + __) Fill in the blanks: (2x + 9)(3x + 4) First: 2x * 3x = 6x^2 Inner: 9 * 3x = 27x Outer: 2x * 4 = 8x (add the Inner and Outer values together to get the middle group of numbers in the original polynomial; 27x + 8x = 35x) Last: 9 * 4 = 36