x2 + 5x - 25 is a polynomial that can't be factored. If however it has a definite value, then the value of x can be calculated.
x2 + 5x - 25 = c
x2 + 5x + 25 = c - 50
(x + 5)2 = c - 50
x + 5 = ±(c - 50)1/2
x = ±(c - 50)1/2 - 5
So if c = 0, x would be equal to both 5i√2 - 5 and -(5i√2 + 5)
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The GCF is x2.
x4 + x2 - 42 Let x2 = t, so that x4 = t2 t2 + t - 42 since -42 = 7(-6) and 7 + (-6) = 1, then t2 + t - 42 = (t - 6)(t + 7) = (x2 - 6)(x2 + 7) By replacing t with x2. So we have, x4 + x2 - 42 = (x2 - 6)(x2 + 7) = [x2 - (square root of 6)2](x2 + 7) = (x - sq. root of 6 )(x + sq. root of 6)(x2 + 7)
x2 + 48x + 320
x3 + x2 - 3x - 3 x(x2 + x - 3) - 3
x2 + 6x - 2 can not be factored