University:
College
Course:
College Mathematics
Academic year:

2023
Views:

94

Pages:

1
Author:

Cameron Christensen

polynomials *Polynomials consist of several terms Information vocab constant term: degree of zero Leading term: highest power of x Leading coefficient: number part of the leading term Types Linear: degree of zero Quadratic: degree of two Cubic: degree of three Quartic: even degree Quintic: degree of five Simplifying 1 Adding ex. (3x²-2x+5)+(4x²+5x-7) Vertical Method 3x²-2x+5 +4x²+5x-7 7x²+3x-2 Horizontal Method (3x²-2x+5)+(4x²+5x-7) 3x²-2x+5+4x²+5x-7 7x²+3x-2 2 Subtracting ex. (3x²-2x+5)-(4x²+5x-7) Horizontal Method: (3x²-2x+5)-(4x²+5x-7) 3x²-2x+5-4x²-5x+7 distributed minus sign -1x²-7x+12 Vertical Method 3x²-2x+5 -(4x²+5x-7) 3x²-2x+5-4x²-5x+7 -1x²-7x+12 3 Multiplying ex. (3x-2)(2x+5) FOIL: First, Outside, Inside, Last (3x-2)(2x+5) 6x²+11x-10 Vertical Method 3x-2 x 2x+5 6x² 15x -4x -10 6x²+11x-10 Horizontal Method (3x-2)(2x+5) 3x2x+3x5-22x-25 6x²+15x-4x-10 6x²+11x-10 Hint: (2x+3)²=(2x+3)(2x+3)