0
The expression ( x^3 + x^2 + x + 1 ) can be factored using polynomial identities. It can be rewritten as ( (x^2 + 1)(x + 1) ). Alternatively, it can also be expressed as ( \frac{x^4 - 1}{x - 1} ) for ( x \neq 1 ). This shows that the polynomial has roots at the complex fourth roots of unity, excluding 1.
What else can I help you with?
How do you solve x-1 plus x2-x plus x3-x2 plus x4-x3?
x4 - 1.We can not "solve" this as we have not been told the value of x. However, we can simplify this expression:We have an x and a minus x here which will cancel out. Likewise the x2 and x3 will cancel out with the -x2 and -x3 respectively. This therefore leaves us with just x4 - 1.
X3 plus x2 minus 6x plus 4?
x3 + x2 - 6x + 4 = (x - 1)(x2 + 2x - 4)
How do you factor x3-2x plus 1?
(x - 1)(x2 + x - 1)
What is the factorization of x3 -7x2 plus 6x?
x3 - 7x2 + 6x = x(x2 - 7x + 6) = x(x2 - x - 6x + 6) = x[x(x - 1) - 6(x - 1)] = x2(x - 1) - 6x(x - 1) = (x2 - 6x)(x - 1)
X4-x3 plus X2 -X plus 1?
It is a polynomial of the fourth degree in X.
How do you factor x3 plus 1?
x3 + 1 = x3 + x2 - x2 - x + x + 1 = x2(x + 1) - x(x + 1) +1(x + 1) = (x + 1)(x2 - x + 1)
What is the factor of x3 plus x2 plus 4x plus 4?
x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)
How do you solve x-1 plus x2-x plus x3-x2 plus x4-x3?
x4 - 1.We can not "solve" this as we have not been told the value of x. However, we can simplify this expression:We have an x and a minus x here which will cancel out. Likewise the x2 and x3 will cancel out with the -x2 and -x3 respectively. This therefore leaves us with just x4 - 1.
X3 plus x2 minus 6x plus 4?
x3 + x2 - 6x + 4 = (x - 1)(x2 + 2x - 4)
X3 plus x2 plus 5x plus 5?
10x + 5 unless you know what x & y are * * * * * Perhaps this answer will be of help: x3 + x2 + 5x + 5 = (x + 1)(x2 + 5). If you are willing to go to complex roots, then, x3 + x2 + 5x + 5 = (x + 1)(x2 + 5). = (x + 1)(x + i√5)(x - i√5); in which case, x = -1 or ±i√5.
Factor x3 plus 1?
(x + 1)(x2 - x + 1)
Factor x3 plus 2x2 -19x -20?
x3 + 2x2 - 19x - 20 = x3 + x2 + x2 + x - 20x - 20 = x2(x + 1) - x(x + 1) - 20(x + 1) = (x + 1)(x2 + x - 20) = (x + 1)(x - 4)(x + 5)
Factor x3 plus 4x2 plus x plus 4?
x3 + 4x2 + x + 4 = (x + 4)(x2 + 1)
What is x cubed plus x?
x3 + x = x2(x + 1)
Factor by grouping 3-3x plus x2-x3?
3 - 3x + x2 - x3 = (1 - x)(x2 + 3)
How do you factor x3-2x plus 1?
(x - 1)(x2 + x - 1)
Integral of 1 plus x2?
The integral of 1 + x2 is x + 1/3 x3 + C.
