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Unformatted text preview: 5 is the coefficient.
In the Polynomial 3x2 + 2x – 5 Contains 3 terms, 3x2, 2x and 5 3x2 is the leading termthe term with the highest degree. The coefficient 3 is the leading coefficient. The degree of the polynomial is 2 the degree of the leading coefficient. 6x –2 This is NOT
a polynomial term... ...because the variable has a negative exponent. 1/x2 This is NOT
a polynomial term... ...because the variable is in the denominator. This is NOT
a polynomial term... ...because the variable is inside a radical. This IS a polynomial term... ...because it obeys all the rules. x 4x2 A polynomial or monomial of degree 0 or 1 is called linear. A polynomial or monomial is said to be quadratic if it is of degree 2. A polynomial or monomial is said to be a cubic if it is of degree 3. A polynomial or monomial is said to be a quartic if it is of degree 4. A polynomial function is a function in which ordered pairs are determined by evaluating a polynomial. Given P(x)= 2x3 + 8x2 – 17x – 3, find the value of P(2). P(2)=2(2)3+8(2)217(2)3 = 16 + 32 – 34 3 = 11
olynomial Function Polynomials are added by combining like terms.
Like terms are terms that have the same variables raised to the same powers. 3x2 is a like term to 4x2 and can be added: 3x2 + 4x2= 1x2 or x2 3x + 4x are like terms whose sum is 7x. Addition of Polynomials 4x and 3 NOT like terms The second term has no variable 4x and 3y NOT lik...
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