Factor the following completely.
1.
[tex]x {}^{2} - 25[/tex]
2.
[tex]36a {}^{2} - 100b {}^{6} c[/tex]
3.
[tex]a {}^{14}b {}^{10} c {}^{16} - 4x {}^{12} y {}^{4} z {}^{36} [/tex]
5.
[tex]4x {}^{2} - 25[/tex]
4.
[tex]16u {}^{6} v {}^{8} - 49s {}^{2} t {}^{8} [/tex]
6.
[tex]x {}^{2} + 2xy + y {}^{2} [/tex]
7.
[tex]225b {}^{2} + 270bc + 81b {}^{2} [/tex]
8.
[tex]49x {}^{2} - 112xy + 64y {}^{2} [/tex]
9.
[tex]4x {}^{2} + 20x + 25[/tex]
10.
[tex]100n {}^{2} - 80nm + 16m {}^{2} [/tex]
1.
[tex]x {}^{2} - 25[/tex]
2.
[tex]36a {}^{2} - 100b {}^{6} c[/tex]
3.
[tex]a {}^{14}b {}^{10} c {}^{16} - 4x {}^{12} y {}^{4} z {}^{36} [/tex]
5.
[tex]4x {}^{2} - 25[/tex]
4.
[tex]16u {}^{6} v {}^{8} - 49s {}^{2} t {}^{8} [/tex]
6.
[tex]x {}^{2} + 2xy + y {}^{2} [/tex]
7.
[tex]225b {}^{2} + 270bc + 81b {}^{2} [/tex]
8.
[tex]49x {}^{2} - 112xy + 64y {}^{2} [/tex]
9.
[tex]4x {}^{2} + 20x + 25[/tex]
10.
[tex]100n {}^{2} - 80nm + 16m {}^{2} [/tex]
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Answer:
a quadratic equation is any equation that can be rearranged in standard form as ax^{2}+bx+c=0 where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term.