Algebra 2 – Chapter 5.6 – 6.2 Test Version B (98 total points) Name:__________________ Date:_____________ Period:____________ Simplify; write your answer in complex number form a bi (2 points each) 1) 64 1)________________ 2) 11 2)________________ 3) 6 36 3)________________ 4) 21 7 4)________________ 5) 9 9 5)________________ Solve by finding the square root (3 points each) 6) x 2 81 0 6) x =_____________ 7) 4 x 2 80 7) x =_____________ Find the Additive Inverse (2 points each) 8) 15 22i 8)_______________ 9) 13 6i 9)_______________ Find the Absolute Value (3 points each) 10) 6 8i 10)_______________ 11) 5 7i 11)_______________ Simplify each expression (2 points each) 12) 10 5i 2 3i 12)_______________ 13) 9 5i 2 3i 13)_______________ 14) 2 5i 4 8i 14)_______________ 15) 5 7i 15)_______________ 2 16) 8i 4i 16)_______________ Complete the Square (2 points each) 17) x 2 18 x ______ 18) x 2 11x ______ Solve by Completing the Square (4 points each) 19) x 2 8 x 9 0 19) x =___________ 20) x 2 5 x 1 0 20) x =___________ Solve using the Quadratic Formula (3 points each) 21) x 2 8 x 12 0 21) x =____________ 22) 2 x 2 6 x 7 0 22) x =____________ Evaluate the Discriminant. Tell how many solutions each equation has and whether the solutions are real or imaginary.(3 points each) 23) x 2 8 x 20 0 23)_______________ 24) 9 x 2 24 x 16 0 24)_______________ 25) 2 x 2 5 x 2 0 25)_______________ Write each polynomial function in standard form. Then classify it by degree and by the number of terms. (3 points each) 26) f ( x) 3x x 6 2 26) f(x) = _______________ Degree:___________ Number of terms:_________ 27) g ( x) x 3 4 x 2 4 x 3 27) g(x) = _______________ Degree:___________ Number of terms:_________ 28) h( x) ( x 2 2 x) (2 x 3 2 x) 28) h(x) = _______________ Degree:___________ Number of terms:_________ 29) w( x) ( x 3) 2 ( x 2) 29) w(x) = ______________ Degree:___________ Number of terms:_________ Write each polynomial in factored form. Then state the zeros of the polynomial. (4 points each) 30) t ( x) 2 x 3 8 x 2 16 x 30) t(x) = _______________ Zeros; x =_______________ 31) s( x) x 4 2 x 3 8 x 2 31) s(x) = _______________ Zeros; x =_______________ 32) Write p(x) as a polynomial function in factored form with the given zeroes at 3, 2, -3 (3 points each) 32) p(x) =_______________ Sketch each graph and label your zeros (4 points each) 33) y ( x 3) 2 ( x 2)( x 4) 34) y x( x 1)( x 5) 2 35) y ( x 3) 3 ( x 4) 2