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10.1 add/subtract polynomials
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Notes Polynomial: expression which is the sum of terms.
Standard form: terms placed in descending order form largest degree to smallest Ex: 3x2 + 2x - 1 Degree: exponent of the variable. Degree of polynomial: largest degree of its term. Leading coefficient: coefficient of the first term.
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Notes Monomial: 1 term Binomial: 2 terms Trinomial: 3 terms
Constant: degree of 0. Linear: degree of 1. Quadratic: degree of 2. Cubic: degree of 3. Quartic: degree of 4
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Write the polynomial in standard form – T/st
3x + 4x2 – 5 3x – 7 + 2x2 -4x + 7x4 – 5x3 + 1 5x2 + 4 – 3x X – 7x3 + 2
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Identify the leading coefficient, classify polynomial by degree and by term - T
14 x3 - 5 2x2 – 5x + 1
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Identify the leading coefficient, classify polynomial by degree and by term - T
2x + 3 1 – x4 x – x3 + 3x2 + 9 -3x2 + 6x - 2
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Adding Polynomials Vertically-t/st
(-9x2 – x + 2) + (4x2 + 2x – 7) (x + 2) + (2x + 5) (-x2 – 8x -15) + (x2 - 5x - 6) (w3 + 6w) + (-w2 - 8w +7)
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Subtract Polynomials Vertically –t/st
(15x2 + 2x - 9) – (-x2 - 12x – 6) (4b3 – 7b - 7) – (b2 + 6b - 12) (11y2 – 8y - 19) – (20y2 + 3y + 10) (-n2 – 5n + 9) – (2n3 + 8n – 13)
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Adding Polynomials horizontally – t/st
(-8x3 + x -16) + (x2 +9x) (3a2 + 1)+(4a2 – 7) (-10v2 + 20) + (v2 – 12v) (2y3 + 5y – 12) + (y3 – 6y2+3y – 4)
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Subtract Polynomials Horizontally- t/st
(15b4 + 14) – (3b4 - 4) (7g2 – 2g + 8) – (g2 – 6g + 1) (3b4 + 6b + 1) – (9b4 + 7b2 – 18) (8d4 + 5) – (7d4 – 1)
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Wrap up Questions/Comments
Hw: text pg. 579, #’s: 20-24evens, evens
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