What is the product of the polynomials below? (6x3 + 3x)(x2 + 4)

Mathematics

1 answer:

shutvik [7]3 years ago

5 0

6x5+24x3+3x3+12x ------> Simplify by adding like terms

6x5 + 27x3 + 12x

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Please solve this and only answer with image

horsena [70]

$\cot^4 A - \cot^2 A = 1\\\\\cot^4 A = 1 + \cot^2 A\\\\\frac{\cos^4 A}{\sin^4 A} = 1 + \frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A}{\sin^2 A}+\frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A+\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{1}{\sin^2 A}\\\\\cos^4 A = \frac{\sin^4 A}{\sin^2 A}\\\\\cos^4 A = \sin^2 A\\\\$

This then means,

$\cos^4 A + \cos^2 A = 1\\\\\sin^2 A + \cos^2 A = 1\\\\$

which is the pythagorean trig identity. This concludes the proof.

Therefore, if $\cot^4 A - \cot^2 A = 1$ , then $\cos^4 A + \cos^2 A = 1$

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3 years ago

The cost in dollars (in dollars) of making x flip flops is represented by 40+4x. The cost (in dollars) of making x sandals is re

Anastasy [175]

Answer:

a. C = 12x + 110; b. $290

Step-by-step explanation:

a. The polynomial

Let L = cost of flip-flops

and S = cost of sandals

Then

C = L + S

= 40 + 4x + 70 + 8x

= 12x + 110

b. The cost

C = 12 × 15 + 110

= 180 + 110

= $290

The cost of making 15 flip-flops and 15 sandals is $290.

6 0

3 years ago

What is the area, in square centimeters, of the figure shown?

lisabon 2012 [21]

For this one, instead of breaking it down into 3 shapes we can simply subtract the missing square area from the total enclosing area...

15*8-4*4

120-16

104 cm^2

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3 years ago

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Sam shot the basketball 15 times. 40% of his shots were made. How many shots did Sam make?

love history [14]

Answer:

Step-by-step explanation:

40% is equal to 40/100

He made 40% of 15 shots so you miltiply 15 by 40/100 which is equal to 6.

6 0

2 years ago

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