One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?

Mathematics

1 answer:

butalik [34]3 years ago

8 0

Answer:

x+2

Step-by-step explanation:

Dividing the poly by the known factor:

x3+5x2+6x <u>| x2+3x</u>

-x3-3x2 x + 2 <- the answer is here

2x2+6x

-2x2-6x

To prove that, let's multiply the two factors and find the pylonomial back on:

(x2+3x).(x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x

Tks your attention!

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Simplify the expression.

Doss [256]

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5 0

3 years ago

A ball is kicked into the air and follows the path described by h(t)= – 4.9t^2 + 6t + 0.6, where t is the time in seconds and h

miv72 [106K]

The maximum value can be determined by taking the derivative of the function.

(dh/dt) [h(t)] = h'(x) = -9.8t + 6

Set h'(x) = 0 to find the critical point

-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8

Plug the time back into the function to find the height.

h(6/9.8) = -4.9(6/9.8)^2 + 6(6/9.8) + .6
= 2.4

And I don't understand your second question.

5 0

4 years ago

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ad-work [718]

Answer:

x = 65.03°

Step-by-step explanation:

To solve for x, we have to apply trigonometric ratio.

Recall: SOH CAH TOA

From the diagram, we know the following:

Reference angle = x

Hypotenuse = 45