5.4 & 5.5 Solving Equations by Factoring. a times c y = ax

advertisement

5.4 & 5.5

Solving Equations by Factoring.

y = ax 2 + bx + c a times c now the two sides must multiply to ac but also add to b now the two sides must multiply to ac but also add to b b

y = ax 2 + bx + c a times c now the two sides must multiply to ac but also add to b now the two sides must multiply to ac but also add to b b then take whatever is on the sides, but UNDER A, and reduce. Those are your ( )( )

Once you get something factored all you want to do is set it = 0.

You are finding the x-intercepts.

x 2 + 6x + 8 = 0

(x + 2)(x + 4) = 0 x = -2, -4

x 2 + 6x + 8 = 0

Different ways they can look...

1) Everything same side

3x 2 - 24x + 27 = 0

2) Things on different sides.

2x 2 - 11x = -15

Get everything same side. Factor.

3) No b term

5x 2 - 180 = 0

Use square roots.

4) No C term

8x 2 - 24x = 0

Use GCF

On the calculator. If you want to check...

If you don't show work, no full credit.

1) punch it in y = ___________

2) graph y = 0 (this is the x axis)

3) 2nd trace, intersect equation 1 with y = 0.

set = 0 factor y -int

(0, c)

(-b/2a, plug in)

Section 5.4

Any 12 factoring problems.

5.5 pg. 271 # 13, 17, 19, 23, 25 (on calc) 37 - 53 odd.

You are not going to get better at these unless you do keep practicing and practicing.

Quit slacking on homeworks.

This is first assigment for Quarter 2.

The easy part of the class is over.

Download