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2 years ago

By how much does a a^3-2a exceed a^2 + a -6

Mathematics

1 answer:

olganol [36]2 years ago

8 0

Answer:

a³ - a² - 3a+ 6

Step-by-step explanation:

we are asked by how much does (a³-2a) exceed (a²+a-6)

in other words, we are being asked to find the difference between the 2 terms above.

Mathematically we are asked to find:

(a³-2a) - (a²+a-6) (expand parentheses by distribution property)

=(a³-2a - a²- a + 6)

= a³ - a² - 3a+ 6 (answer)

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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

r-ruslan [8.4K]

The first thing you should do is to determine all the zeros, and you will have 7, -11, 2 + 6i, 2 - 6i.
After that you have to subtract and (x) from every each zero that you have above, which means
 $7-x, 

 -11-x, 

2 + 6i-x,

 2 - 6i-x
$
And the last step is to multiply them together, and that's all you need!
 $(7-x)(-11-x)(2 + 6i-x)(2 - 6i-x)$
I am pretty sure that everything hase become clear! Regards.

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3 years ago

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

Phantasy [73]

Answer:

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Step-by-step explanation:

Given : $\cos (180^{\circ}-q)=-\cos q$

We have to write which identity we will use to prove the given statement.

Consider $\cos (180^{\circ}-q)=-\cos q$

Take left hand side of given expression $\cos (180^{\circ}-q)$

We know

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Comparing , we get, a= 180° and b = q

Substitute , we get,

$\cos (180^{\circ}-q)=\cos 180^{\circ} \cos (q)+\sin q \sin 180^{\circ}$

Also, we know $\sin 180^{\circ}=0$ and $\cos 180^{\circ}=-1$

Substitute, we get,

$\cos (180^{\circ}-q)=-1\cdot \cos (q)+\sin q \cdot 0$

Simplify , we get,

$\cos (180^{\circ}-q)=-\cos (q)$

Hence, use difference identity to prove the given result.

7 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (2,1) and (5,6)

dlinn [17]

Answer:

5/3

Step-by-step explanation:

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2 years ago

Please help me asap! sorry this si english =(

Ilia_Sergeevich [38]

1. Disappoint
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7 0

2 years ago

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 32 feet. There will be a fence around the g

Leviafan [203]

Answer:

Step-by-step explanation:

There will be a fence around the garden. ... per linear foot. About how much will the fencing costs altogether? Round to the nearest hundreth. Use 3.14 for π ... The straight part of the fence will equal the diameter (d) = 32. The rounded portion will be 1/2 the circumference = (pi)d/2 = (3.14)(16)=50.24.

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2 years ago