Kuta Software - Infinite Algebra 2 Name The Rational Root Theorem Date Period_ State the possible rational zeros for each function. 1) f(x) = 3x3 + 2x-1 2) f(x) =x -64 3) f(x) = x +8x+ 10 4) f(x) =5x - 2x3 + 20x - 8 5) f(x)=4x - 2x* + 30x - 15x3 + 50x -25 6) f(x) =5x* + 32x' - 21 7) f (x) = x -27 8) f(x) = 2x* - 9x- +7 State the possible rational zeros for each function. Then find all rational zeros. 9) f(x)=x+ x -5x+3 10) f(x) = x -13x3 + 23x - 1111) f(x)= x +4x +5x+2 12) f(x) = 5x + 29x3 + 19x -5 13) f(x) = 4x -9x +6x - 1 14) f(x) = 3x + 11x +5x-3 15) f(x) = 5x* - 46x + 84x- - 50x+ 7 16) f(x) = 3x* - 10x -24x - 6x + 5 17) f(x) = 3x +9x3 +4x+ 12 18) f(x) = 2x* + 9x + 19x + 15 Critical thinking question: 19) In the process of solving 2x + 7x" + 9x + 10 =0 you test 1. 2, 5, and 10 as possible zeros and determine that none of them are actual zeros. You then discover that - - is a zero. You calculate the depressed 2 polynomial to be 2x + 2x +4. Do you need to test 1, 2, 5, and 10 again? Why or why not