How do you factor quadratics trinomials

1 answer:

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You can factor trinomials by taking factors of the lead term (x^2) and using them in the front of a set of parenthesis. For instance, if you had 2x^2 as the first term, you would use (2x _____)(x______).

Now to find what goes at the end of the parenthesis, you take factors of the last number. Say our last number was -5, we could use -5 and 1 or 5 and -1. For the purpose of this, we'll use -5 and 1. This would give us (2x - 5)(x + 1).

Now, to be sure you've selected the right ones, you would multiply the two parenthesis together and see if the middle term matches the original equation.

(2x - 5)(x + 1)

2x^2 - 5x + 2x - 5

2x^2 - 3x - 5

So you'll notice that the middle term is -3. If this wasn't the original, you could try those numbers in a different order until you get the correct middle term.

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What is m∠C?<br><br> Round the value to the nearest degree.

Elis [28]

Answer: $m\angle C=53\°$

Step-by-step explanation:

For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.

Then, to find an angle α, this is:

$\alpha =arcsin(\frac{opposite}{hypotenuse})$

In this case, you can identify that:

$\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm$

Then, substituting values into $\alpha =arcsin(\frac{opposite}{hypotenuse})$ and evaluating, you get that the measure of the angle "C" to the nearest degree, is:

$m\angle C=arcsin(\frac{36\ cm}{45\ cm})\\\\m\angle C=53\°$