1) Find the remainder when g(x) = 5x^9 - 4x^2 +2 is divided by 5x-10.
2) Find the remainder of f(x) divided by x^2 - 1 when f(x) = x^10 - 8x^8 - 8x^3 + 12x^2 -5x - 5.
3) Suppose g(x) is a polynomial of degree five for which g(1) = 2, g(2) = 3, g(3) = 4, g(4) = 5, g(5) = 6, and g(6) = -113. Find g(0).
4) Find the remainder when f(x) = 6x^3 - 29x + 12 is divided by x-6.
Not very good at these types of problems ;).
+128475 The answer to (3) is here :
https://web2.0calc.com/questions/math-help_61676
+128475 1) Find the remainder when g(x) = 5x^9 - 4x^2 +2 is divided by 5x-10.
x^8 + 2x^7 + 4x^6 + 8x^5 + 16x^4 + 32x^3 + 64x^2 + ( 636/5)x + 1272/5
5x -10 [ 5x^9 + 0 x^8 + 0x^7 + 0x^6 + 0x^5 + 0x^4 + 0x^3 - 4x^2 + 0x + 2 ]
5x^9 -10x^8
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10x^8 + 0x^7
10x^8 - 20x^7
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20x^7 + 0x^6
20x^7 - 40x^6
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40x^6 - 0x^5
40x^6 - 80x^5
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80x^5 + 0x^4
80x^5 - 160x^4
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160x^4 + 0 x^3
160x^4 - 320x^3
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320x^3 - 4x^2
320x^3 - 640x^2
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636x^2 + 0x
636x^2 - 1272x
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1272x + 2
1272x - 2544
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2546 = remainder
