Factoring
Factor into two binomials: x2+10x+25
(x+5)(x+5) or (x+5)2
Solve the following quadratic equation by using square roots: x2 = 4
(4x2 + 2x) + (x2 + 6x)
5x2 +8x
The length of a photograph is four cm longer than its width. The area is 45. Find the length and width of the photograph.
What is a width of 5 and a length of 9?
The u-shaped graph shown by a quadratic.
What is a PARABOLA?
3x2-12x
3x(x-4)
Solve the following quadratic equation by using square roots: x2 = 121
(4m + 2)(4m + 5)
16m2 + 28m + 10
The sum of a number and its square is 30. Find the numbers.
What are -6 or 5?
The lowest or highest point on a parabola.
What is the VERTEX?
x2-12x+27
(x-9)(x-3)
Solve the following quadratic equation by using square roots: 4x2 = 400
(2x2 + 5x - 3) - (3x3 + 2x - 5)
-3x3 + 2x2 +3x + 2
Solve the following quadratic equation by using the quadratic formula: x2 - 9x + 20 = 0
x = 5 x = 4
These are four names for the place or places a parabola crosses the x-axis.
What are x-intercepts, roots, solutions, and zeros?
Factor 2x2-x-6
(x-2)(2x+3)
Solve the following quadratic equation:
2x2 + 9x + 4 = 0
x= -1/2, x=-4
(5b − 6)(5b2 + 4b − 2)
25b3 − 10b2 − 34b + 12
(Use h = -16t^2 + vt + c) A diver springs from the edge of a cliff 24 ft above the ocean with an initial upward velocity of 8 ft/s. The time when the diver reaches her MAXIMUM HEIGHT?
What is 1/4 sec?
The line that passes through the vertex and divides a parabola into two symmetric parts.
What is the AXIS OF SYMMETRY?
4y2+12y+9
(2y+3)(2y+3)
Solve the following quadratic equation by using square roots: 5x2 + 3 = 128
(8n2 + n − 4)(6n2 − 6n − 4)
48n4 − 42n3 − 62n2 + 20n + 16
The width of a rectangle is 3 inches more than twice its length. The area of the rectangle is 44. Find the dimensions of the rectangle.
What is a width of 11 in. and a length of 4 in.?
This is the standard form of a quadratic equation.
What is ax2 + bx + c = 0 ?