Factor completely the given polynomials.
1. x⁴ - 25x + 144
2. x⁴ - x³ - 7x² + x + 6
3. x⁴ + 2x³ - 9x² - 2x + 8
4.x⁴ - 5x² + 4
5. 2x³ + 3x² - 8x - 12
6. 2x³ - 7x² + 2x + 3
7. x⁴ - 4x³ - 7x² + 22x + 24
8. 3x³ + 10x² + 9x + 2
9. 4x³ - 19x² + 19x + 6
10. 2x³ + 9x² + 7x - 6
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1. x⁴ - 25x + 144
2. x⁴ - x³ - 7x² + x + 6
3. x⁴ + 2x³ - 9x² - 2x + 8
4.x⁴ - 5x² + 4
5. 2x³ + 3x² - 8x - 12
6. 2x³ - 7x² + 2x + 3
7. x⁴ - 4x³ - 7x² + 22x + 24
8. 3x³ + 10x² + 9x + 2
9. 4x³ - 19x² + 19x + 6
10. 2x³ + 9x² + 7x - 6
(Pahelp po. Biglang pasahan e)
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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.
x⁴ - x³ - 7x² + x + 6
Add and subtract the second term to the expression and factor by grouping.
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.
2x³ + 7x² + 2x + 3
Factor the polynomial using the rational roots theorem.
x⁴ - 4x³ - 7x² + 22x + 24
Add and subtract the second term to the expression and factor by grouping.
3x³ + 10x² + 9x + 2
Factor the polynomial using the rational roots theorem.
4x³ - 19x² + 19x + 6
Factor the polynomial using the rational roots theorem.
2x³ + 9x² + 7x - 6
Factor the polynomial using the rational roots theorem.