Factoring is FUN
Factor Completely.
6n3 - 2n2 + 21n - 7
(2n2+7)(3n-1)
Find the possible # of real roots for the polynomial
x3 + x2 + 4x + 4 = 0.
Possible # of real roots: 3 or 1
Factor Completely.
3n3 - 18n2 + 15n
3n(n-5)(n-1)
Find the rational root (s) of the polynomial
x3 + x2 + 4x + 4 = 0.
Rational Root: {-1}
Factor Completely.
16x4 - 1
(4x2 + 1)(2x+1)(2x-1)
Find the possible rational roots of the polynomial function:
f(x)= 4x3 + 8x2 + 5x + 1
+/- (1, 1/2, 1/4)
Find a polynomial of least degree (in standard form) that has integer coefficients given the zeros:
{-2, 3, -4}
f(x)= x3 + 3x2 - 10x - 24
64u3 + 1
(4u + 1)(16u2 - 4u +1)
Find the zeros of the function
f(x)= 4x3 + 8x2 + 5x + 1.
{-1/2 mult. of 2, -1}
Factor Completely.
x6 - 2x3 + 1
(x - 1)2(x2 + x + 1)2
27x3 - 8y3
(3x - 2y)(9x2 + 6xy + 4y2)
Find all roots of the function
f(x)=x3 + 3x2 + 4x + 2 .
x = -1 , -1 + i, -1 - i
Write a polynomial function (in factored form) of least degree with integer coefficients, no square roots or iʻs, and has the given zeros.
-2, 1/3, 1 + √3 i
f(x) = (x+2)(3x-1)(x2 - 2x + 4)