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GuDViN [60]
3 years ago
7

Determine the quotient and remainder F(x)=6x^4+12x^3+24x^2+ 23x+18 is divided by g(x)=2x^2+2x+4

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0
The only way to do this one is by long division which I can't figure out how to show here. There are some great examples online if you google long division with polynomials.

The answer is 3x^2+3x+3 with a remainder of 5x+6 who's is usually shown as (5x+6)/2x^2 +2x+4 which was the divisor g(x).
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KATRIN_1 [288]
The answer is B I believe
7 0
3 years ago
Read 2 more answers
((81x^3 y^(-1/3))^1/4)/(x^2 y)^1/4 simplify
malfutka [58]
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\\\\
\left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}\\\\
-------------------------------\\\\

\bf \cfrac{\left( 81x^3y^{-\frac{1}{3}} \right)^{\frac{1}{4}}}{(x^2y)^{\frac{1}{4}}}\implies \cfrac{81^{\frac{1}{4}}x^{3\cdot {\frac{1}{4}}}y^{-\frac{1}{3}\cdot {\frac{1}{4}}}}{x^{2\cdot {\frac{1}{4}}}y^{\frac{1}{4}}}\implies
\cfrac{81^{\frac{1}{4}}x^{\frac{3}{4}}y^{-\frac{1}{12}}}{x^{\frac{2}{4}} y^{\frac{1}{4}}}

\bf \cfrac{81^{\frac{1}{4}}x^{\frac{3}{4}}x^{-\frac{2}{4}}}{ y^{\frac{1}{4}}y^{\frac{1}{12}}}\implies \cfrac{(3^4)^{\frac{1}{4}}x^{\frac{3}{4}-\frac{2}{4}}}{y^{\frac{1}{4}+\frac{1}{12}}}\implies \cfrac{3^{4\cdot \frac{1}{4}}x^{\frac{1}{4}}}{y^{\frac{4}{12}}}\implies \cfrac{3^{\frac{4}{4}}x^{\frac{1}{4}}}{y^{\frac{1}{3}}}
\\\\\\
\cfrac{3\sqrt[4]{x}}{\sqrt[3]{y}}
7 0
3 years ago
When you multiply a fraction with a mix number will the product always be greater than one
jok3333 [9.3K]
If we can find 1 contradiction then answer is no
hmm

less than one in a fraction is when in form a/b, b>a

1/1000 times 1 and 1/2 same as 1/1000 times 3/2=3/2000
that is less than 1

answer is NO

4 0
3 years ago
Which ordered pairs make the equation true?
Nata [24]
(-4,-2)
You just plug in the numbers from the ordered pair, into your equation. Remember, the formula for ordered pairs are (x,y). :)
6 0
3 years ago
Read 2 more answers
A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located
asambeis [7]
The total distance that the family has driven is the sum of the distances from Phoenix to San Francisco,
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from San Francisco to Blythe,
                             d = sqrt ((-9 - 5)² + (-20 - -36)²) = 21.26
from Blythe to Los Angeles,
                             d = sqrt ((-4 - -9)² + (-33 - - 20)²) = 5.83
Adding the distances, we get 37.72.

5 0
3 years ago
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