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# a few questions

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1. Expand (x+2)(x^2 +3)

2. Factor the quadratic x^2 -9x-36

3. Find all values of x that satisfy the equation 3x^2 +14x=5

Feb 20, 2021

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1. $$(x+2)(x^2+3) = \boxed{x^3 + 2x^2 + 3x + 6}$$

2. $$x^2 - 9x - 36 = \boxed{(x-12)(x+3)}$$

3. $$3x^2 +14x - 5 = 0$$

$$x = {-14 \pm \sqrt{196-4(3)(-5)} \over 2(3)} = {-14 \pm 16 \over 6}$$
$$\boxed{x=-5, -\frac{1}{3}}$$