Algebra 12.4: Solve Quadratics

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x
• Solve for x
• FOIL
• Set each binomial factor equal to zero

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1
• (x + 1)(x - 3); x=-1, x=3
• (x + 2)(x - 1); x=-2, x=1
• (x - 1)(x + 3); x=1, x=-3

Which equation matches these solutions? x=5,-7

• (x+5)(x-7)=0
• (x-5)(x+7)=0
• (x+5)(x+7)=0
• (x-5)(x-7)=0

Which of the following is a name for the answer to a quadratic equation?

• Vertex

• Root

• Zero

• Quartic

• x - intercept

Find the zeros of this quadratic.

• b=4/5, b=3
• b=4, b=-3
• b=1/5, b=3
• b=4/5, b=-3

x²+4x-32=0

• x= -8, 4

• x= 8, -4

• x= -8, -4

x²-14x-51=0

• x= 17, -3

• x= -17, 3

• x= -17, -3

x²=18x-81

• x= -9, -9

• x= 9, 9

• x= -9, 9

3x²+9x-30=0

• x= 2, -5

• x= 5, -2

• x= -5, -2