x^(3) + x^(2) + 4x + 4
Factirise
x^(2)(x + 1) + 4(x+1) =>
(X^(2) + 4)(x + 1) = >
(x^(2) + 2^(2))(x + 1)
NB ; REmember two squared terms with a positive (+) between then does NOT factor.
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x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)
(x + 4) / (x3 - 11x + 20) = (x + 4) / (x2 + 4x - 5)(x + 4) = 1 / (x2 + 4x - 5) = 1 / (x + 5)(x - 1), where x ≠ -4
Dividend: 4x4-x3+17x2+11x+4 Divisor: 4x+3 Quotient: x3-x2+5x-1 Remainder: 7
x3 - 2x2 - 4x + 8 = (x2 - 4)(x - 2) = (x + 2)(x - 2)(x - 2)
x3 - 10x2 + 24x = x(x2 - 10x + 24) = x(x2 - 4x - 6x + 24) = x[ x(x - 4) - 6(x - 4) ] = x(x - 6)(x - 4)