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Published byJairo Roswell
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Mikela Shepherd and Anna Leavitt
Adding and Subtracting Polynomials (3x 2 + 2x) + (5x 2 + x) = 3x 2 + 5x 2 +2x + x = 8x 2 + 3x (3x 2 + 2x) – (5x 2 + x) = 3x 2 – 5x 2 + 2x – x = - 2x 2 + x Group like terms and simplify!
Simplify (3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4) (3x 3 + 3x 2 – 4x + 5) + (x 3 – 2x 2 + x – 4) = 3x 3 + 3x 2 – 4x x 3 – 2x 2 + x – 4 = 3x 3 + x 3 + 3x 2 – 2x 2 – 4x + x + 5 – 4 = 4x 3 + 1x 2 – 3x + 1
GRAPHING with a positive leading coefficient with a negative leading coefficient EVENDEGREEEVENDEGREE
GRAPHING with a positive leading coefficient with a negative leading coefficient ODDDEGREEODDDEGREE
Which of the following could be the graph of a polynomial whose leading term is –3x 4 ?
ANSWER This is a degree 4 polynomial, meaning that the graph will either go up on both ends or down on both ends. Since the leading coefficient is negative, the graph will go down on both ends.
X- intercepts y = x 2 – x – 42 Factor→ (x + 6) (x – 7) The graph will cross the x axis at x = – 6 and x = 7 →
Y- intercept y = x 2 – x – 42 Substitute 0 for x to find where the graph crosses the y axis y = 0 – 0 – 42 y = 42 Graph x 2 – x – 42 →
y = x 2 – x – 42 ANSWER X = 7 X = - 6 Y = - 42
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