x⁴ - 25x + 144
Since both terms are perfect squares, factor using the difference of squares formula, a² − b² = ( a + b )(a − b ) where a = x and b = 4.
[tex](x + 4)(x - 4)(x + 3)(x - 3)[/tex]
x⁴ - x³ - 7x² + x + 6
Add and subtract the second term to the expression and factor by grouping.
[tex](x - 1)(x + 1)(x - 3)(x + 3)[/tex]
x⁴ - 5x² + 4
Since both terms are perfect squares, factor using the difference of squares formula, a² – b² = ( a + b )( a − b )where a = xand b = 2.
[tex](x + 2)(x - 2)(x + 1)(x - 1)[/tex]
2x³ + 7x² + 2x + 3
Factor the polynomial using the rational roots theorem.
[tex](x - 1)( {2x}^{2} - 5x - 5)[/tex]
x⁴ - 4x³ - 7x² + 22x + 24
Add and subtract the second term to the expression and factor by grouping.
[tex](x - 4)(x + 1)(x - 3)(x + 2)[/tex]
3x³ + 10x² + 9x + 2
Factor the polynomial using the rational roots theorem.
[tex](x + 1)(3x + 1)(x + 2)[/tex]
4x³ - 19x² + 19x + 6
Factor the polynomial using the rational roots theorem.
[tex](4x + 1)(x - 3)(x - 2)[/tex]
2x³ + 9x² + 7x - 6
Factor the polynomial using the rational roots theorem.
[tex](2x - 1)(x + 2)(x + 3)[/tex]
