Precalculus Section 2 2 Polynomial Functions Of Higher Degrees We This video covers the leading coefficient test and finding the zeros of polynomials of degree higher than 2. Section 2.2 polynomial functions of higher degree 143 real zeros of polynomial functions if is a polynomial function and is a real number, the following state ments are equivalent. 1. is a zero of the function 2. is a solution of the polynomial equation 3. is a factor of the polynomial 4. a, 0 is an x intercept of the graph of f. x a f x. x a.
Pre Calculus Section 2 2 Polynomial Functions Of Higher ођ Chat pre calculus section 2.2 10 real zeros of polynomial functions if f is a polynomial function and a is a real number, then the following statements are equivalent. 1. x = a is a zero of f. 2. x = a is a solution of the equation f(x) = 0. 3. (x – a) is a factor of f(x). 4. (a, 0) is an x intercept of the graph of f. Solution: the x intercepts of the function occur when p x 0 , so we must solve the equation. 2 x 1 . 3 x 1 0. set each factor equal to zero and solve for x. solving x 2 0 , we see that the graph has an x intercept of 0. solving x 1 3 0 , we see that the graph has an x intercept of 1. The graph of a polynomial of degree n can have as many as n − 1 relative extrema. if f is a polynomial function and a is a real number, the following statements are equivalent. x = a is a zero of the function f. x = a is a solution of the equation f(x) = 0. (x a) is a factor of f(x). (a , 0) is an x intercept of the graph of f. Students will learn about the degree and leading coefficient and how that dictates where a polynomial graph will start and end. students also will learn abo.
Pre Calculus Section 2 2 Polynomials Of Higher Degreeођ The graph of a polynomial of degree n can have as many as n − 1 relative extrema. if f is a polynomial function and a is a real number, the following statements are equivalent. x = a is a zero of the function f. x = a is a solution of the equation f(x) = 0. (x a) is a factor of f(x). (a , 0) is an x intercept of the graph of f. Students will learn about the degree and leading coefficient and how that dictates where a polynomial graph will start and end. students also will learn abo. This videos goes over end behavior, finding zeros of higher degree polynomials, and relating factors to zeros. The degree of a polynomial func tion is the l argest po wer of 𝑥 that appears. for example, 𝑓 ( 𝑥 ) = 2 − 5𝑥 3𝑥 4 is a pol ynomial of degree 4. the graph of a p olynomial functi on is always smooth and continuous .
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