Math Teacher - Polynomials - Online Tutoring

Math Teacher - Polynomials - Online Tutoring Poly means many and nomial means terms. All together polynomials are a combination of many terms. They are combined by using Polynomials or NOT? 3xy + 5x 6y +9 It is a polynomial Degree: The degree of a polynomial is the highest degree of its terms. Example: Degree of the polynomial x2 y3+2x2+7x+8 is 5 Degree Polynomial Name 0 Constant 1 Linear 2 Quadratic 3 Cubic 4 Quartic 5 Quintic Number of terms in a polynomial is 1Monomial (Example: 4ap3) Number of terms in a polynomial is 2Binomial (Example: 3y2-8) Number of terms in a polynomial is 3Trinomial (Example: 3p+5ax2+4) Example: Select a polynomial from the following (a)2/(x+2) (b) 1/x (c) -3p +8/12 x (d) 4ap(-3) Answer: c Example 1: Evaluate 3x3 +x2 -2x -4 at x= -2 Answer: Replace x with -2 3(-2)2+ (-2)2 -2(-2) -4 = 3(-8) + 4 + 4 -4 = -24 + 4 = -20 Example 2: Simplify 2x2 -5x +6 - x2 +7x -12 Answer: Combining like terms (2x2 - x2) + (-5x + 7x) + (6-12) x2 + 2x - 6