11/12/19 4. I

obj : I can find real zeros .

I can use zeros to write polynomial .

vocabZeroes = are the solutions for X ( solve fo - x )

x - intercepts = where equation crosses x - axis

.

Find the zeros or

× 't 4×-12=0 solve for ×

( Xt 6)( x -2) =o ① FACTOR !!!

Xt 6=0 X - 2=0② set each factor = O

③ add Opp to both sides

x= - 6,2 ④ ÷ by colt

Fundamental Theorem of Algebra = the

degree of poly tells you how many zeros

youhave

Thoumany zeros ?

,

polynomialf(×)=×6t 344-6×3+8

formor

6 standard

← find zerosform

FIX ) =( Xt 41 ( x - 3/(2×+5) - factored

X. Xo 2×-2×3 3form

et Sind zeros

f I x) -2×3 - E- Gx

xlzx'

- x -

61=0×12×1-3-2) =o

2×2×-6. 2×2=4×+3×-4

to 2×+3=0 X - 2=02×1×-2 ) +31×-2 )

X= - Zz , 2,0 (2×+374-2)

.

⇐ find zeros

f Cx ) - 5×2-25×+1 if it doesn't

a- - S b -- -25 cel factor use

X -

-+251 -

Quad torn

(-252-41574)×=

-bt Face

Tis -

2 a

X= 25 IT Ask 4. 5. I

GOTA

t s

, ,

← Given zeros write factored t

Standard form

f- S,

-7,

- I

X -- 5 x = - 7 x = - I

o

factored form

¥LxtNxtD=f LA.

standard form - multiplya-( x - s ) C xn ) = x 't 2×-35

=

(x2i⇒TTxtD⇒Is t 2×2 - 3G xxLt2x-3#X3t3x2_33x-35=f