- Factor the following polynomials.
- [latex]x^2 - 5x + 6[/latex]
[latex](x-2)(x-3)[/latex]ans
- [latex]x^2 + 2x - 63[/latex]
[latex](x-7)(x+9)[/latex]ans
- [latex]x^2 - 4xh + 4h^2[/latex]
[latex](x-2h)^2[/latex]ans
- [latex]x^2 - 5x + 6[/latex]
- If you’re doing a limit with a continuous function, like [latex]\lim_{x \to 3} 7x - 1[/latex], how can you quickly solve this limit problem?
Plug it in!ans
- Compute the following limits algebraically.
- [latex]\lim_{x \to 5} 2x^2 - 7x[/latex]
[latex]15[/latex]ans
- [latex]\lim_{x \to 2} \frac{(x-5)(x-2)}{x-2}[/latex]
[latex]-3[/latex]ans
- [latex]\lim_{x \to 3} \frac{x^2 - 6x + 9}{x - 3}[/latex]
[latex]0[/latex]ans
- [latex]\lim_{x \to -4} \frac{x^2 + 3x - 4}{x+4}[/latex]
[latex]-5[/latex]ans
- [latex]\lim_{x \to 2} \frac{x^3 - 6x^2 + 8x}{x-2}[/latex]
[latex]-4[/latex]ans
- [latex]\lim_{x \to w} x^2 + 5xw - w^2[/latex]
[latex]5w^2[/latex]ans
- [latex]\lim_{x \to h} \frac{x^2 - h^2}{x-h}[/latex]
[latex]2h[/latex]ans
- [latex]\lim_{x \to 5} 2x^2 - 7x[/latex]