All categories

4 years ago

What is the quotient? x+5√3x^2+4x+5

Mathematics

1 answer:

lana [24]4 years ago

7 0

Answer:

the quotient is 3x-9 with a reminder of 50

Step-by-step explanation:

Start the division by looking into the leading terms of both polynomials (3x^2 in the dividend, and x in the divisor):

What algebraic expression would you need to multiply x by in order to get 3x^2?. The answer is: "3x". This would be the first term of your quotient polynomial.

You continue now with the normal division as shown in the attached image.

You might be interested in

Which property is shown? 4/5+(-4/5)=0

Aliun [14]

Answer:

Inverse Property

Step-by-step explanation:

Any number X plus the negative of itself = 0

8 0

3 years ago

Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

3 years ago

Howard Slater age 44 an actor expected his income to the coin future years he decides to take out a 20-year payment life policy

SpyIntel [72]

Answer:

Individuals end to continue paying the premiums of the automobile insurance as a habit. However, serious thoughts and putting in element of strategizing helps to reduce the premium in most cases. At times, there is a sudden like on the part of the insurer even for a flawless driver.

A good look up and research of the insurance websites can be of real help in comparing whether a better deal is offered by the other insurance companies, or whether a certain change in the policy or small adjustments of the term would give benefit to the customer.

In case a speeding ticket is received, or an accident is mentioned in the driving history, it is maintained there in for a period of three to five years. Thus, the premium increases substantially. A change of insurer is advised in such situations, where a major search for an insurer, who does not pay that much importance to these details, is to be carried on.

Again, having a teenager driver in the family calls for a caution as the insurance premium increases drastically in such occasion. Having clean driving record of the parents, or kids commuting to far away schools without cars help in such situation.

5 0

4 years ago

( variable son both sides of an equation)

padilas [110]

B=8 i hope this helps!!

4 0

3 years ago

Read 2 more answers

can anyone help me and show work for this Find the length of the third side. If necessary, write in simplest radical form.

tiny-mole [99]

Answer:

Step-by-step explanation:

Use Pythagorean theorem

Hypotenuse² = base² + altitude²

= 9² + 10²

= 81 + 100

= 181

hypotenuse = √181

5 0

3 years ago