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Polynomials are named based on two criteria 1. the highest exponent 2. the number of terms Polynomials are named based on two criteria So when given a polynomial... 1. the highest exponent 2. the number of terms x3-4x2+3x-1 Polynomials are named based on two criteria So when given a polynomial The highest exponent is three 1. the highest exponent 2. the number of terms x3-4x2+3x-1 highest exponent Polynomials are named based on two criteria So when given a polynomial The highest exponent is three 1. the highest exponent 2. the number of terms and the number of terms is four x3-4x2+3x-1 1 2 3 4 four terms Here's two charts that will aid us in naming 0 1 2 3 4 5 Exponent constant linear quartic quintic quadratic cubic 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial 0 1 2 3 4 5 Exponent constant linear quartic quintic quadratic cubic Name the polynomial x2-5 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Quadratic Binomial Quadratic Monomial Linear Binomial Linear Monomial 0 1 2 3 4 5 Exponent constant linear quartic quintic quadratic cubic x3-5x+1 Match the polynomial with the name 5 x5 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Cubic Trinomial ? Constant Monomial ? Quintic Monomial ? 0 1 2 3 4 5 Exponent constant linear quartic quintic quadratic cubic x-5 Match the polynomial with the name 2x4-x3 x1 2 4 1 3 Terms monomial Polynomial of 4 terms binomial trinomial Linear Binomial ? Quartic Binomial ? Linear Monomial ? Standard form of a polynomial is ordering all terms from the highest degree (power) to the lowest degree. Standard form of a polynomial is ordering all terms from the highest degree (power) to the lowest degree. Which polynomial is in standard form? x3 + 5x - 3x2 x3 - 3x2 + 5x - 3x2 +x3 + 5x Standard form of a polynomial is ordering all terms from the highest degree (power) to the lowest degree. Which polynomial is in standard form? x3 + 5x - 34 x3 - 34 + 5x - 34 +x3 + 5x Standard form of a polynomial is ordering all terms from the highest degree (power) to the lowest degree. Which polynomial is in standard form? x13 + 5x - 34 + 2x x13 - 3x7 + 5x6 - 8 x13 + 5x8 + 7x2 - x6 x7 + 5x4 + 7x - x2 + 8 Fill in the missing exponent so that the polynomial will be in standard form. x5 + 9x3 + 7x - 6x + 8 Fill in the missing exponent so that the polynomial will be in standard form. -3x4 ? Shimmy these terms so that the polynomial is in standard form +x3 ? +4x2 ? -x ? -7 ? -x8 ? Shimmy these terms so that the polynomial is in standard form +2x6 ? -x3 ? -x2 ? +x ? (+) 3x2 + 6x + 2 When Combining Polynomials, ONLY the coefficient (number in front) changes !!! 4x2 + 3x + 5 x2 + x + (+) 4x2 + 4x – 2 When Combining Polynomials, ONLY the coefficient (number in front) changes !!! 5x2 - 2x + 9 x2 + x + (+) 4x2 - 5x +4 5x2 - 3x - 9 x2 x The terms in the POLYNOMIAL SUM must be connected by + or – signs. (-4x3 + 2x - 8) + (8x3 - 8x2 + x + 5) Write the simplified expression in standard form. operation symbols (-4x3 + 2x - 8) - (8x3 - 8x2 + x + 5) Write the simplified expression in standard form. operation symbols (3x2 + x + 4) - (8x - x2 + x - 7) Write the simplified expression in standard form. operation symbols C A B D A B C D A C D B The length of a rectangle is represented byx2 + 3x + 2 and the width is represented by 4x. What is the perimeter of the rectangle? 4x3 + 12x2 + 8x x2 + 7x +2 x4 + 6x3 + 13x2 + 12x + 4 2x2 + 14x + 4 The length of a rectangle is represented byx2 + 3x + 2 and the width is represented by 4x. What is the area of the rectangle? x2 + 7x +2 x4 + 6x3 + 13x2 + 12x + 4 4x3 + 12x2 + 8x 2x2 + 14x + 4 |