Solving Quadratics Algebraically

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

What are the zeros?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Write the equation of the quadratic

whose roots are -4, -2.

• x²-6x+8

• x²+6x+8

• x²-4x-2

• x²-2x-4

Write the equation of the parabola above with the given roots.

• x²-x-20

• x²+x-20

• -x²-x+20

• -x²+x+20

Write the equation for a parabola

that opens downward whose zeros are x = 1, x = 3.

• x²-4x+3

• x²+4x+3

• -x²+4x-3

• -x²-4x-3

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Factor x²-11x+24

• (x-3)(x-8)
• (x-2)(x-12)
• (x+3)(x+8)
• (x+2)(x+12)