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Warm Up Real Zeros of Polynomial Functions

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Presentation on theme: "Warm Up Real Zeros of Polynomial Functions"— Presentation transcript:

1 Warm Up 02.03 Real Zeros of Polynomial Functions
TBA Warm Up Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2 x +5 x+2 x² +7x +3 -( x² +2x ) ↓ +5x -( 5x +10 ) -7
02.03 Real Zeros of Polynomial Functions TBA x +5 x+2 +7x +3 -( x² +2x ) +5x -( 5x +10 ) -7 Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3 ←“Remained her constant ex”
02.03 Real Zeros of Polynomial Functions TBA coefficients zero of x+2 -2 1 7 3 -10 5 -7 x +5 x+2 +7x +3 -( x² +2x ) +5x -( 9x +10 ) -7 ←“Remained her constant ex” Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4 x² -x -1 x-4 x³ -5x² +3x -2 -( x³ -4x² ) ↓ -x² -( -x² +4x ) -( -x +4 )
02.03 Real Zeros of Polynomial Functions TBA -x -1 x-4 -5x² +3x -2 -( x³ -4x² ) -x² -( -x² +4x ) -( -x +4 ) -6 Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5 ←“Remained her constant ex”
02.03 Real Zeros of Polynomial Functions TBA coefficients zero of x-4 4 1 -5 3 -2 -4 -1 -6 -x -1 x-4 -5x² +3x -2 -( x³ -4x² ) -x² -( -x² +4x ) -( -x +4 ) -6 ←“Remained her constant ex” Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6 x² -3x 2 x+3 x³ +0x² -7x +0 -( x³ +3x² ) ↓ -3x² -(-3x² -9x) 2x -( 2x
02.03 Real Zeros of Polynomial Functions TBA -3x 2 x+3 +0x² -7x +0 -( x³ +3x² ) -3x² -(-3x² -9x) 2x -( 2x +6 ) -6 Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7 ←“Remained her constant ex”
02.03 Real Zeros of Polynomial Functions TBA coefficients -3x 2 x+3 +0x² -7x +0 -( x³ +3x² ) -3x² -(-3x² -9x) 2x -( 2x +6 ) -6 -3 1 -7 9 -6 2 ←“Remained her constant ex” Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8 -2 3 -1 4 -6 14 -7 18 Coefficients (finish with constant)
02.03 Real Zeros of Polynomial Functions TBA Coefficients (finish with constant) -2 3 -1 4 -6 14 -7 18 Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

9 02.03 Real Zeros of Polynomial Functions
TBA Use “0” as a placeholder for the missing x³ term. 3 -1 5 2 -3 -9 -12 -39 -4 -13 -37 Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

10 02.03 Real Zeros of Polynomial Functions
TBA Use “0” as a placeholder for the missing x² and constant terms. -3 1 -5 9 -12 4 Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

11 02.02 Polynomial Functions of Higher Degree
TBA Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

12 Synthetic Substitution
02.02 Polynomial Functions of Higher Degree TBA Synthetic Substitution -3 1 -5 7 2 24 -93 -8 31 -91 Thursday, April 11, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals


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