SOLUTION: When 2t^4 - 1 is divided by t+2, what is the remainder?

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Question 1130290: When 2t^4 - 1 is divided by t+2, what is the remainder?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+%282t%5E4+-+1%29%2F+%28t%2B2%29+


.........|2t%5E3-4t%5E2%2B+8+t-16
%28t%2B2%29(2t%5E4%2B0%2At%5E3%2B0%2At%5E2%2B0%2At+-+1
.........|2t%5E4%2B0%2At%5E3
........|2t%5E4%2B4t%5E3
................|-4t%5E3%2B0%2At%5E2
................|-4t%5E3-8t%5E2
..........................|8t%5E2%2B0%2At
..........................|8t%5E2%2B16t
..................................|-16t-+1
..................................|-16t-+32
.........................................|-1-+%28-32%29
............................................|31->the remainder

=> 2+t%5E4+-+1+=+%282+t%5E3+-+4+t%5E2+%2B+8+t+-+16%29+%2A+%28t+%2B+2%29+%2B+31

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

When 2t^4 - 1 is divided by t+2, what is the remainder?
Factor = t + 2, so t + 2 = 0, and t = - 2, and so, remainder = f(- 2).



As seen, remainder is simply 31.