Factoring trinomials a =1
Factor into two binomials: x2+7x+10
(x+5)(x+2)
Factor : 2c2-14c-36
2 (c - 9)(t + 2)
What is the axis and symmetry and vertex?
The midline of the parabola - the vertex lies on the axis symmetry. It is exactly between the two x intercepts
What is the friendly guy?
How many x intercepts can there be?
0, 1 or 2
Factor into two binomials: m2-11m+18
(m-9)(m-2)
Factor: 4x2 + 32x + 64
4 (x + 4) (x + 4)
What is the standard form and the factored form?
ax2+bx+c
(x-p)(x-q)
What does c need to be to complete the square? a2+2a-3=0
c needs to be =4
Why is there a + or - before the square root?
Because a positive or negative number squared is positive
Factor into two binomials: x2+5x-24
(x+8)(x-3)
Factor: 6x2 - 11x + 4
(3x - 4)(x - 1)
By setting h=0.
What do you need to add to both sides to complete the square?
x2-2a-8=0
9
What is the quadratic formula?
x=(-b + or - sqrt (b2-4ac))/2a
Factor and solve: n2+6n-7=0
(n+7)(n-1)=0
n=-7 and 1
Factor: 5t2 + 16t - 16
(t + 4)(5t - 4)
Find when the skydiver will hit the ground:
h(t)=-9t2+10000
t=100/3 seconds
Complete the square:
x2+4x+2=4
x2+4x+4=6
Solve using the quadratic formula
x2+13x+42=0
x=-7 and -6
Factor and find the solutions:
x2-2x-6=2
(x-4)(x+2)=0
x=4 and -2
Factor and find the solutions:
3x2+24x+36=0
x= -6 and -2
What are the two equations for this problem:
The sum of two numbers is 19 and their product is 78.
What are the next steps to find the numbers?
x+y=19 and x*y=78
Substitute one equation in to solve for one variable and then plug in the answer to find your other variable.
Solve by completing the square:
k2+8k+12=0
x=-2 or x=-6
Solve using the quadratic formula:
2x2-5x+2=0
x= 1/2 and 2