Question

Use the remainder theorem to find the remainder when f(x) is divided by x -2. Then use the factor theorem to determine whether x -2 is a factor of f(x)
f(x) = 2x^5 + 6x^4 - x^2 - 7x - 12

Answer 1

f(2) = 2(32) + 6(16) - 4 - 14 - 12 = 130

so c-2 is not a factor

by synthetic division, (hard to show in this format)

2 | 2 6 0 -1 -7 -12
....-------------
........4 20 40 78 142
....210 20 39 71 130

I guess I should have done the division first

Answer 2

Thank you!