Addition 4x2-4x-32 and 2x2-3x-12

Addition #160; 4x^2+4x+3/2 #160; amp; #160; 2x^2+3x+1/2 = 4x^2+4x+3/2+2x^2+3x+1/2 = 6x^2+7x+(3+1/2) = 6x^2+7x+2 #160; ...

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Addition and Subtraction of Algebraic Expression

Addition 4x...

Question

Addition
$4 x^{2} + 4 x + \frac{3}{2}$ and $2 x^{2} + 3 x + \frac{1}{2}$

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Solution

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\begin{matrix} {lim}_{x \to 1} \frac{x^{2} - 3 x + 2}{x^{2} - 4 x + 3} {lim}_{x \to 2} \frac{x^{3} + x^{2} - 12}{x^{3} - x^{2} - x - 2} {lim}_{x \to \sqrt{2}} \frac{x^{2} + x \sqrt{2} - 4}{x^{2} - 3 x \sqrt{2} + 4} {lim}_{x \to 3} \frac{x^{3} - 3 x^{2} - x + 3}{x^{3} - 6 x^{2} + 9 x} \end{matrix}

7 x^{4} + 4 x^{2} + 3 x - 5

2 x^{2} + 3 x - 2

(x^{2} - 4) (x^{2} - x - 2)

(x^{2} + 4 x + 4) (x^{2} - 3 x + 2)

Find the equation whose roots are reciprocals of the roots of $2 x^{2} + 5 x + 4 = 0$ .

(3 x^{2} - \frac{1}{5} x + \frac{7}{3}) + (- \frac{1}{4} x^{2} + \frac{1}{3} x + \frac{1}{3} x - \frac{1}{6}) + (- 2 x^{2} - \frac{1}{2} x + 5)

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