x3 + x2 - 3x - 3 x(x2 + x - 3) - 3
x^4-x^3+x
x3+x2+x First, factor out the x: x(x2+x+1) Could stop there, but the rest is factor-able using imaginary numbers: x(x+.5(1+i(3).5)(x+.5(1-i(3).5), where i = (-1).5, or sqrt(-1)
Greatest common factor of x4 and x3 is x3.
3/x2
(x + 4)(x - 3)(x - 2)
(x+2)3 =(x)3+3(x)2(2)+3(x)(2)2+(2)3 =x3+6x2+12x+6
The answer to x4+x3-14x2+4x+6 divided by x-3 is x3+4x2-2x-2
x3 + x2 - 3x - 3 x(x2 + x - 3) - 3
x3 - 3x2 + x - 3 = (x2 +1)( x - 3)
x3 - 3x2 + x - 3 = (x - 3)(x2 + 1)
3 - 3x + x2 - x3 = (1 - x)(x2 + 3)
(4x + 3)(x + 3)(x - 4)(x - 5)
Dividend: 4x4-x3+17x2+11x+4 Divisor: 4x+3 Quotient: x3-x2+5x-1 Remainder: 7
Six.
6
A binomial multiplied to itself 3 times. Example (x + 2)3 = (x + 2) (x + 2) (x + 2) This would equal x3 + 4x2 + 8x + 8