ax"is the leading term, a is the leading coefficient, and a, is the constant term. The terms of a polynomial may be written in any order. However, if they are written in decreasing powers of, we say that the polynomial function is in standard form. Illustrative Example. A polynomial function f(x) = 4x° + 2x° + x + 6 can be written in standard form as f(x) = 2x'+ 4x + x+6. It is of degree 3; its leading term is 2x' ; its leading coefficient is 2; and its constant term is 6. Activity 1: Fix and Move Them, then Fill Me UP Consider the given polynomial functions and fill in the table below. Polynomial Function Polynomial function in standard position Leading Coefficient Constant Term Degree 1. f(x) = 3x²- 2x' + x- 3 |2.f(x) = 3 + 3x'- 2x + x² 3. f(x) = 6x²- 2x + x – 3 4. f(x) = 1 + x-5x
ax"is the leading term, a is the leading coefficient, and a, is the constant term. The terms of a polynomial may be written in any order. However, if they are written in decreasing powers of, we say that the polynomial function is in standard form. Illustrative Example. A polynomial function f(x) = 4x° + 2x° + x + 6 can be written in standard form as f(x) = 2x'+ 4x + x+6. It is of degree 3; its leading term is 2x' ; its leading coefficient is 2; and its constant term is 6. Activity 1: Fix and Move Them, then Fill Me UP Consider the given polynomial functions and fill in the table below. Polynomial Function Polynomial function in standard position Leading Coefficient Constant Term Degree 1. f(x) = 3x²- 2x' + x- 3 |2.f(x) = 3 + 3x'- 2x + x² 3. f(x) = 6x²- 2x + x – 3 4. f(x) = 1 + x-5x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
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