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Polynomials Assignment SHOW ALL WORK!!! Date Find the remainder when f(x) is divided by x - k. 1) f(x) = 9x5 + 4x4 - 2x3 +6.x2+ 2 k =1 Factor each to linear and irreducible quadratic factors and find all rational zeros. Your work must be shown ALGEBRAICALLY for full marks. 2) f (x )=6x4 -x3 - 7x2 + x+1 3) When 2x' + kx? - 3x + 2 is divided by x - 2, the remainder is 4. Determine the value of k. 4) A certain polynomial function, P(x), is divided by x + 5. The quotient is 2x - 9x + 3 and the remainder is -6. What is the equation of P(x)? 5) When mx - 2x + nx - 4 is divided by x + 2, the remainder is 4. When mx - 2x + nx - 4 is divided by x - 1, the remainder is -11. Determine the values of m and n