Algebra 2cc Section 2.10 Identify and evaluate polynomials A polynomial function is an expression in the form: f(x) = ax n + bx n-1 + cx n-2 + … dx + e.

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Presentation transcript:

Algebra 2cc Section 2.10 Identify and evaluate polynomials A polynomial function is an expression in the form: f(x) = ax n + bx n-1 + cx n-2 + … dx + e where n is a whole number Which are polynomials? Name the leading coefficient. f(x) = 5x 3 + 2x 2 -3x + 9 f(x) = 7x 2 -x + 1 f(x) = x 3 -x f(x) = 11 f(x) = x -2 + x 1/2 f(x) = x/4 + 9 f(x) = 4/x - 9

Types of polynomial functions Degree Type Standard form 0 constant f(x) = c 1 linear f(x) = mx+ b 2 quadratic f(x) = ax 2 + bx + c 3 cubic f(x) = ax 3 + bx 2 + cx + d 4 quartic f(x) = ax 4 + bx 3 + cx 2 + dx + e 5 quintic f(x) =ax 5 + bx 4 + cx 3 + dx 2 + ex + f

Evaluate f(x) = 2x 4 – 8x 3 + 2x + 10 Find f(3) Find f(3) using synthetic substitution.

Use synthetic substitution Find f(1/2) if f(x) = 4x 3 + 3x + 5

assignment Page 333 Problems 16 – 26 even, all, 81,82