Factor completely (Sum Difference of Two Cubes)
[tex]1. \: 8e^{3}f^{6} - 125g ^{3} [/tex]
[tex]2. \: 64 - p^{6} [/tex]
[tex]3. \: 343v^{3} + 27w^{6} [/tex]
[tex]4. \: b^{6} - 81c^{6} [/tex]
[tex]5. \: 27 + 8p^{3} [/tex]
Determine whether the polynomial is linear,quadratic,cubic,quartic,or quantic and arrange the given equation into standard form.
[tex]1. \: 9x + 2x^{2} [/tex]
[tex]2. \: - 8x + 4x^{3} - 8x^{2} - 9[/tex]
[tex]3. \: 12x^{2} - 13x^{5} [/tex]
[tex]4. \: 3x + 8[/tex]
[tex]5. \: 4x^{4} - 3x ^{3} + 2x^{2} - 9x - 1[/tex]
Thankyou in advance!
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Verified answer
✏️POLYNOMIALS
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» Factor completely (Sum Difference of Two Cubes)
» Determine whether the polynomial is linear, quadratic, cubic, quartic, or quantic and arrange the given equation into standard form.
Standard Form:![\:\tt \green{2x^2 + 9x} \:\tt \green{2x^2 + 9x}](https://tex.z-dn.net/?f=%20%5C%3A%5Ctt%20%5Cgreen%7B2x%5E2%20%2B%209x%7D%20)
Standard Form:![\:\tt \green{4x^3 - 8x^2 - 8x - 9} \:\tt \green{4x^3 - 8x^2 - 8x - 9}](https://tex.z-dn.net/?f=%20%5C%3A%5Ctt%20%5Cgreen%7B4x%5E3%20-%208x%5E2%20-%208x%20-%209%7D%20)
Standard Form:![\:\tt \green{\text-13x^5 + 12x^2} \:\tt \green{\text-13x^5 + 12x^2}](https://tex.z-dn.net/?f=%20%5C%3A%5Ctt%20%5Cgreen%7B%5Ctext-13x%5E5%20%2B%2012x%5E2%7D%20)
Standard Form:![\:\tt \green{3x + 8} \:\tt \green{3x + 8}](https://tex.z-dn.net/?f=%20%5C%3A%5Ctt%20%5Cgreen%7B3x%20%2B%208%7D%20)
Standard Form:![\small \:\tt \green{4x^4 - 3x^3 + 2x^2 - 9x - 1} \small \:\tt \green{4x^4 - 3x^3 + 2x^2 - 9x - 1}](https://tex.z-dn.net/?f=%20%5Csmall%20%5C%3A%5Ctt%20%5Cgreen%7B4x%5E4%20-%203x%5E3%20%2B%202x%5E2%20-%209x%20-%201%7D%20)
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