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Chapter 3 Test Review Algebra IIB Name: ____________ Date: ____________ Identify the degree of the monomials. 1) 6x2 2) 5x 3) -9 4) 8x2y5z Rewrite the polynomials in standard form. Then identify the leading coefficient, degree, number of terms and name. 5) 6 + 7x – 4x3 + x2 6) x2 – 3 + 2x5 Add or Subtract. Write your final answer in standard form. 7) (2x2 – 2x + 6) + (11x3 – x2 – 2 + 5x) 9) Graph the polynomial function on the calculator. Describe the graph and identify the number of real zeros. 8) (12x2 + x) – (6 – 9x2 + x7 – 8x) f(x) = -2x3 + 3x2 – 1 10) The height, in feet, of a baseball after being struck by a bat can be approximated by h(t) = -16t2 + 100t + 5, where t is measured in seconds. Evaluate h(5) and describe what the values mean. Multiply. 11) 2x(3x2 + 1) 12) (x – 4)2 13) (y + 2)(y2 + 2y – 12) Divide. Use the method indicated. 14) (x2 + 2x + 6) ÷ (x – 3) long division 15) (x2 + 4x + 1) ÷ (x – 5) synthetic Factor completely: 16) 2x3 + 2x2 – x – 1 17) 2x4 + 54x 18) x2 + 5x + 6 19) 64x3 – 1 20) 3x4 + 24x 21) 2x2 – 4x + 2 Solve the following using factoring or synthetic division. 22) 3x3 + 4x2 – 6x – 8 = 0 23) x5 – 2x4 – 24x3 = 0 24) x4 – 9x2 = -20 25) x3 + 10x2 + 17x – 28 = 0 26) 3x3 + 10x2 – 27x = 10 27) 3x4 – 23x3 + 19x2 + 27x + 6 = 0