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xenn [34]
3 years ago
14

Multiply the polynomials. (x + 4)(x^2 - 5x+3)

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

x^3 - x^2 - 17x + 12

Step-by-step explanation:

To multiply two polynomials together, first multiply each term of one polynomial by each term of the other polynomial. Then, collect like terms.

(x + 4)(x^2 - 5x + 3) =

Multiply x by each term of x^2 - 5x + 3. Multiply 4 by each term of x^2 - 5x + 3.

= x^3 - 5x^2 + 3x + 4x^2 - 20x + 12

Now collect like terms and write them in descending order of degree.

= x^3 - x^2 - 17x + 12

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Find the limit, if it exists, or type dne if it does not exist.
Phantasy [73]
\displaystyle\lim_{(x,y)\to(0,0)}\frac{\left(x+23y)^2}{x^2+529y^2}

Suppose we choose a path along the x-axis, so that y=0:

\displaystyle\lim_{x\to0}\frac{x^2}{x^2}=\lim_{x\to0}1=1

On the other hand, let's consider an arbitrary line through the origin, y=kx:

\displaystyle\lim_{x\to0}\frac{(x+23kx)^2}{x^2+529(kx)^2}=\lim_{x\to0}\frac{(23k+1)^2x^2}{(529k^2+1)x^2}=\lim_{x\to0}\frac{(23k+1)^2}{529k^2+1}=\dfrac{(23k+1)^2}{529k^2+1}

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4 years ago
Five minutes on the clock
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Answer:

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Step-by-step explanation:

Area of rectangle = l × b

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4 0
3 years ago
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If -6x + 12 = 0 and 4y + 5 =9 <br> what is the value of x + y
slega [8]

Answer:

x=2

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Step-by-step explanation:

-6x+12=0

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Answer:

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Step-by-step explanation:

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y = -\frac{1}{7}\cdot \cos 7\cdot t + C

b) The antiderivative of y' = \sin 7\cdot t + \cos \left(\frac{t}{7}\right) is:

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