7) 8) V. Operations With Polynomials To add or subtract polynomials, just combine like terms. To multiply polynomials, multiply the numerical coefficients and apply the rules for exponents. Tutorials: Polynomials (adding & subtracting): , Polynomials (multiplying): , Examples: a) (x2 + 3x - 2) - (3x2 - x + 5) b) 3x(2x + 5)2 x2 + 3x - 2 - 3x2 + x -5 3x(4x2 + 20x + 25) -2x2 + 4x - 7 12x3 + 60x2 + 75x c) 4(5x2 + 3x - 4) + 3(-2x2 - 2x + 3) d) (4x - 5)(3x + 7) 20x2 + 12x - 16 - 6x2 - 6x + 9 12x2 + 28x - 15x - 35 14x2 + 6x - 7 12x2 + 13x - 35 Perform the indicated operations and simplify: 1) (7x2 + 4x - 3) - (-5x2 - 3x + 2) 2) (7x - 3)(3x + 7)
7) 8) V. Operations With Polynomials To add or subtract polynomials, just combine like terms. To multiply polynomials, multiply the numerical coefficients and apply the rules for exponents. Tutorials: Polynomials (adding & subtracting): , Polynomials (multiplying): , Examples: a) (x2 + 3x - 2) - (3x2 - x + 5) x2 + 3x - 2 - 3x2 + x -5 -2x2 + 4x - 7 c) 4(5x2 + 3x - 4) + 3(-2x2 - 2x + 3) 20x2 + 12x - 16 - 6x2 - 6x + 9 14x2 + 6x - 7 b) 3x(2x + 5)2 3x(4x2 + 20x + 25) 12x3 + 60x2 + 75x d) (4x - 5)(3x + 7) 12x2 + 28x - 15x - 35 12x2 + 13x - 35 Perform the indicated operations and simplify: 1) (7x2 + 4x - 3) - (-5x2 - 3x + 2) 2) (7x - 3)(3x + 7)
1._honors_a2_alg_1_rev_pkt.docx