Vocabulary
the product of numbers and powers of variables
monomial
solve for x, x2 - 13x = 30
x = -2, x = 15
find the roots and vertex, 2x2 - 12x + 16
roots: (2,0) (4,0)
vertex: (3,-2)
solve for x, x2 + 14x - 51 = 0
x = -17, 3
solve for x, x2 + 8x + 16 = 0
x = -4
is the greatest factor that divides two numbers
greatest common factor(GCF)
factor 12x2 + 5x - 2
(-3x - 2)(-4x + 1)
find the roots and vertex, x2 - 3x - 10
roots: (-2,0) (5,0)
vertex: (1.5,-12.25)
solve for x, x2 - 20x + 44 = -2
x = 2.652, 17.348
or
x = 10 ± 3√6
solve for x, x2 + 5x - 14 = 0
x = -7, 2
the process of writing a number or algebraic expression as a product
factoring
factor 15x2 + 14x - 8
(5x - 2)(3x + 4)
find the vertex and roots, -x2 + 16x + 5
roots : (16.307, 0), (-0.307, 0)
vertex : (8, 69)
solve for x, x2 - 14x + 30 = 6
x = 2, 12
solve for x, x2 + x - 56 = 0
x = 7, -8
the first term when the polynomial is in standard form
leading term
factor 5x2 - 50x + 120
5(x - 6) (x - 4)
find the roots and vertex, -x2 - 4x - 5
roots : none
Vertex : (-2,-1)
solve for x, 3x2 - 12x - 9 = 0
x = 4.646, -0.646
or
x = 2 ± √7
solve for x, x2 + 9x + 8 = 0
x = -8, -1
the expression under the radical sign, b2 - 4ac
discriminant
factor 24x2y + 34xy + 12y
2y(4x+3)(3x + 2)
find the roots and vertex, 5x2 + 3x + 3
roots : none
vertex : (-0.3, 2.55)
solve for x, 18x - 3x2 = -24
x = 7.123, -1.123
or
x = 3 ± √17
solve for x, x2 + 11x + 20 = 0
x = -2.298, -8.702
or
x = -(11/2)± (√41/2)