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If it's (x3 -1) that you want to factorize, then find the solutions to (x3 -1) = 0.
So if P(x) is a polynomial of x, and x=a is a solution for P(x) = 0, then (x - a) is a factor of P(x).
So x = 1 solves (x3 -1) = 0, so (x - 1) is a factor. Use long division (x3 -1)/(x-1) = x2 + x + 1. Use the quadratic formula to find the roots of this: -1/2 ± i*sqrt(3)/2, which is complex. So the factorization is:
- (x3 -1) = (x - 1)( x2 + x + 1)
Multiply the polynomials together to check that your answer is correct.
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What would you do if the equation had x squared or x cubed in the polynomial equation?
It depends on what you wanted to do - graph it, solve it, factorise it, etc.
How do you factorise x2-4x?
6
How do you factorise x- x?
It could be x(1 -1) when factorised
How do you factorise x squared minus 7 x?
x(x - 7)
Can you factorise x2-196?
( x - 14 ) ( x + 14 )
Factorise x cubed plus 8?
X3 + 8= (x+2)(x2-2x+4)
How do you factorise x cubed -16x?
x3-16xx(x2-16)x(x+4)(x-4)...forgot to finish it, sorry.
How do you factorise 6 x cubed plus 3 x?
6x^3 + 3x = 3x(2x^2 + 1)
What would you do if the equation had x squared or x cubed in the polynomial equation?
It depends on what you wanted to do - graph it, solve it, factorise it, etc.
How do you factorise x cubed minus nine x?
x3 - 9x = x(x2 - 9) = x(x2 - 32) = x(x - 3)(x + 3)
x cubed minus x?
X cubed - X cubed is zero.
How do you factorise x2-4x?
6
How do you factorise x plus x?
x + x = x(1+1)
What is x minus 1 cubed?
xcubed-1 Answer::(X-1)(Xsquared+X+1) when you factor xcubed minus a number its the same thing as x cubed minus y cubed and x cubed minus y cubed factors to:: (x-y)(xsquared+xy+y squared) the first factor, (x-y), is the cubed root of the first and the cubed root of the second, so in the answer i have (x-1), which is x cubed minus one cubed :) the second factor, (xsquared+xy+ysquared), you take the first number squared, Xsquared, then the first and second one multiplied together, XY, and then the second number squared, Ysquared, so in the answer i have (xsquared+x+1), which is x squared, then x times 1 which is just x, and positive 1, which is negative 1 squared :) x^3 - 1
How do you factorise x squared - 3x?
It is: x(x-3) factorized
How do you factorise x- x?
It could be x(1 -1) when factorised
How do you factorise x squared minus 7 x?
x(x - 7)
