Question

Please show all your work for credit. a). Use the Remainder Theorem and synthetic division to find the function value. Verify your answer using another method b) Use the Remainder Theorem and synthetic drvision to find the function value. Verify your answer using another method f(x) 4x-3x 2x -4, (2)

Answer 1

f(x) = 3 x^3 - 7 x + 3 to find f(s) divide f(x) by (x - 5) (3 x^2 + 15 x + 68 3 x^3 - 7 x + 3 -3 x^3 + 15 x^2 0 + 5 x^2 - 7 x -15 x^2 + 75 x 0 + 68 x + 3 -68 x + 340 0 + 343) rightarrow remainder f(5) = 343 f(x) = 4 x^4 - 3 x^3 + 2 x^2 - 4 to find f(2) divide f(x) by (x - 2) x - 2 (4 x^3 + 5 x^2 + 12 x + 24 4 x^4 - 3 x^3 + 2 x^2 - 4 -4 x^4 + 8 x^3 0 + 5 x^3 + 2 x^2 -5 x^2 + 10 x^2 0 + 12 x^2 - 4 -12 x^2 + 24 x 0 + 23 x - 4 -24 x + 48 0 + 44 rightarrow remainder f(2) = 44 (x + 5) (x + 2) .