Problem 1AYU: 1. Find f( 1 ) if f( x )=2 x 2 x Problem 2AYU: 2. Factor the expression 6 x 2 +x-2 Problem 3AYU: 3. Find the quotient and remainder if 3 x 4 -5 x 3 +7x4 is divided by x3 . (pp. A25-A27 or A31-A34) Problem 4AYU Problem 5AYU: 5. f( x )=q(x)g( x )+r(x) , the function r( x ) is called the ______ . (a) remainder(b) dividend(c)... Problem 6AYU: 6. When a polynomial function f is divided by x-c , the remainder is _______ . Problem 7AYU: 7. Given f( x )=3 x 4 -2 x 3 +7x-2 , how many sign changes are there in the coefficients of f( x ) ?... Problem 8AYU: 8. True or False Every polynomial function of degree 3 with real coefficients has exactly three real... Problem 9AYU: 9. If f is a polynomial function and x4 is a factor of f, then f( 4 )= _______. Problem 10AYU: 10. True or False If f is a polynomial function of degree 4 and if f( 2 )=5 , then f( x ) x-2 =p( x... Problem 11AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 12AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 13AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 14AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 15AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 16AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 17AYU Problem 18AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 19AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 20AYU: In Problems 11-20, use the Remainder Theorem to find the remainder when f( x ) is divided by x-c .... Problem 21AYU Problem 22AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 23AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 24AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 25AYU Problem 26AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 27AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 28AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 29AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 30AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 31AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 32AYU: In Problems 33-44, determine the maximum number of real zeros that each polynomial function may... Problem 33AYU: In Problems 45-50, find the bounds to the zeros of each polynomial function. Use the bounds to... Problem 34AYU: In Problems 45-50, find the bounds to the zeros of each polynomial function. Use the bounds to... Problem 35AYU: In Problems 45-50, find the bounds to the zeros of each polynomial function. Use the bounds to... Problem 36AYU: In Problems 45-50, find the bounds to the zeros of each polynomial function. Use the bounds to... Problem 37AYU: In Problems 45-50, find the bounds to the zeros of each polynomial function. Use the bounds to... Problem 38AYU: In Problems 45-50, find the bounds to the zeros of each polynomial function. Use the bounds to... Problem 39AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 51. f( x )= x 3 +2 x 2... Problem 40AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 52. f( x )= x 3 +8 x 2... Problem 41AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 53. f( x )=2 x 3 -13 x 2... Problem 42AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 54. f( x )=2 x 3 -5 x 2... Problem 43AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 55. f( x )=3 x 3 +4 x 2... Problem 44AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 56. f( x )=3 x 3 -7 x 2... Problem 45AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 57. f( x )= x 3 -10 x 2... Problem 46AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 58. f( x )= x 3 +6 x 2... Problem 47AYU: In Problems 51-68, find the real zeros of f. Use the real zeros to factor f 59. f( x )= x 4 + x 3 -3... Problem 48AYU Problem 49AYU Problem 50AYU Problem 51AYU: In Problems 51-68, find the real zeros of f . Use the real zeros to factor f . f( x )= x 3 -8 x 2... Problem 52AYU Problem 53AYU: In Problems 51-68, find the real zeros of f . Use the real zeros to factor f . f( x )=4 x 4 +7 x 2... Problem 54AYU Problem 55AYU Problem 56AYU Problem 57AYU: In Problems 69-74, find the real zeros of f . If necessary, round to two decimal places. f( x )= x 3... Problem 58AYU: In Problems 69-74, find the real zeros of f . If necessary, round to two decimal places. f( x )= x 3... Problem 59AYU: In Problems 69-74, find the real zeros of f . If necessary, round to two decimal places. f( x )= x 4... Problem 60AYU Problem 61AYU Problem 62AYU Problem 63AYU: In Problems 75-84, find the real solutions of each equation. x 4 - x 3 +2 x 2 -4x-8=0 Problem 64AYU: In Problems 75-84, find the real solutions of each equation. 2 x 3 +3 x 2 +2x+3=0 Problem 65AYU: In Problems 75-84, find the real solutions of each equation. 3 x 3 +4 x 2 -7x+2=0 Problem 66AYU Problem 67AYU Problem 68AYU Problem 69AYU Problem 70AYU Problem 71AYU Problem 72AYU Problem 73AYU Problem 74AYU Problem 75AYU Problem 76AYU Problem 77AYU Problem 78AYU Problem 79AYU: In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section... Problem 80AYU: In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section... Problem 81AYU: In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section... Problem 82AYU: In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section... Problem 83AYU: In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section... Problem 84AYU: In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section... Problem 85AYU: In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section... Problem 86AYU: In Problems 91-98, analyze each polynomial function using Steps 1 through 8 on page 193 in Section... Problem 87AYU: Find k such that f( x )= x 3 k x 2 +kx+2 has the factor x2 . Problem 88AYU: Find k such that f( x )= x 4 k x 3 +k x 2 +1 has the factor x+2 . Problem 89AYU Problem 90AYU Problem 91AYU Problem 92AYU Problem 93AYU Problem 94AYU Problem 95AYU Problem 96AYU Problem 97AYU: Let f( x ) be a polynomial function whose coefficients are integers. Suppose that r is a real zero... Problem 98AYU Problem 99AYU Problem 100AYU Problem 101AYU Problem 102AYU Problem 103AYU: Is 2 3 a zero of f( x )= x 7 +6 x 5 x 4 +x+2 ? 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