Unit 3 Day 5 Fundamental Theorem Name Pre-AP Calculus Hour List the possible rational roots for each function. Then find all of the roots of each function. 1.) f(x) =3x'-11x -6x+8 2.) f(x)=x+4x-12x2 -32x+64 3.) f(x) = 6x'+1 1x -3x-2 4.) f (x)=x3 - 3x2 -5x+15 5.) f (x ) =x3-2x2 - 2x-3 6.) f(x)=x*+4x-x2+16x-20 7.) f(x)=x-5x2+2x+12 8. ) f (x ) = x* -5x'+3x-+x9.) f(x)= x* -3x'+4x2 -6x+4 Find a polynomial function with real coefficients that has the given zeros. 10.) -1, 6+5i 11.) 2, -4-i Find all the zeros of the function with the given factor or zero. 12.) f(x) = x4 -2x -3x +12x-18; factor of x2 -6 13.) f(x) = 2x3 +3x2 +50x+75; zero of 5i 14.) f(x) = x3 -7x2 -x+87; zero of 5+ 2iUnit 3 Day 6 - The Fundamental Theorem Name Hr Pre-Calculus List the possible rational roots for each function. Then find all of the roots of each function. 1. f(x)=x +3x' -5x- -21x+22 2. f(x) =x +4x-+14x+20 3. f (x) =x -4x' +8x2 - 16x+16 4. f (x) = 8x - 14x2 + 18x-9 5. f(x)= x + 10x2 +33x+34 6. f(x)=25x -55x2 -54x-18 Find all the zeros of the function with the given factor or zero. 7. f(x)=x +x'+9x+9; factor of 3i 8. f(x)=4x +23x2 +34x-10; factor of -3+i9. f (x)= x4 -3x3 -x2 -12x-20; factor of x2 +4 Find a polynomial function with real coefficients that has the given zeros. 10. 3, i 11. 0, 0, 4, 1+ 2i 12. HEIGHT A baseball is thrown upward from ground level with an initial velocity of 48 feet per second, and its height h (in feet) is given by h(1) =-161 +481, OSIS3 where t is the time (in seconds). You are told that the ball reaches a height of 64 feet. Is this possible? Use any convenient method to solve the quadratic equation. 13. 9x2 - 25 =0 14. 16x2 -21=0 15 . 2x2 +6 x +3=0 Find the exact value of each expression. 16. tan(0) - 6sin 17. 3sec(7) - 5 tan(47) 18. cot? 3x - sin +4 tan 19. sin2 5x - cos= (Sit + tan +it