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Synthetically Divide: (2x^3+x^2-22x+20)/(2x-3)
Synthetically Divide: (2x^3+x^2-22x+20)/(2x-3)
Divide by synthetic division: \((2x^3+x^2-22x+20)\div (2x-3)\)



Begin by solving for \(x\) in the divisor:

\(2x-3=0\)

\(\displaystyle x=\frac{3}{2}\)

Now perform synthetic division:

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Pre-calculus and Functions   bio_man   368   Asked 2 years ago
Solve the quartic: x^4-3x^3+x^2-3x+0=0
Solve the quartic: x^4-3x^3+x^2-3x+0=0
\(x^4-3x^3+x^2-3x+0=0\)

*Note: Remember to always common factor if a constant doesn't exist - as in this case.

Solution:



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Pre-calculus and Functions   bio_man   243   Asked 2 years ago
Evaluate each expression for a = 2, b = 3 and Express values in rational form.
Evaluate each expression for a = 2, b = 3 and Express values in rational form.


Step 1: substitute a = 2 and b = 3 into the expression

\(\sqrt{\frac{9\left(3\right)^3\left(2\cdot 3\right)^2}{\left(2^2\cdot 3^3\right)^3}}\)

S
Pre-calculus and Functions   DCDSB Helper   110   Asked 3 years ago
Factor by grouping examples
Factor by grouping examples
#9:   \(x^2+y^2+2xy-4\)

Rearrange

\(x^2+2xy+y^2-4\)

Factor the first three terms as your would a quadratic trinomial by trial and error \(\left(x^2+2xy+y^2\right)-4\). It becomes:

\(\left(x+y\right)\left(x+y\right)-4\)

Write t
Pre-calculus and Functions   Durham_College   466   Asked 5 years ago
Simplify Help
Simplify Help
\(\left[4\sqrt{x}^2-1\right]\cdot 2\sqrt{x}\)

Distribute the 2 to the two terms inside the brackets

\(4\sqrt{x}^2\cdot 2\sqrt{x}-2\sqrt{x}\)

\(8x\sqrt{x}-2\sqrt{x}\)

\(2\sqrt{x}\left(4x-1\right)\)
Pre-calculus and Functions   bio_man   276   Asked 5 years ago
To find the limit of a function with two variables by epsilon delta method
To find the limit of a function with two variables by epsilon delta method
Plz help me find the Limit of f(x,y)= (x^2-y^2)/(x^2+y^2)  as (x, y)  tend to (0,0) by epsilon delta method with a detailed solution.
Pre-calculus and Functions   Copernicus711   332   Asked 5 years ago
Write an equation that represents a cosine wave
Write an equation that represents a cosine wave
Any general wave will do. Thanks in advance

Also, state the period, phase-shift, and amplitude Slight Smile
Pre-calculus and Functions   chementhusiat   173   Asked 6 years ago
Writing an equation for cosine with several hints given
Writing an equation for cosine with several hints given
I have to write the equation of the cosine wave whose amplitude is 1.5, has a period of 270°, a phase-shift of -60°, and is reflected about the x-axis.

How do I do that?
Pre-calculus and Functions   chementhusiat   163   Asked 6 years ago
Transforming polar equation to rectangular
Transforming polar equation to rectangular
Transform the polar equation r(1-cos θ )=1 into rectangular form.

Thanks
Pre-calculus and Functions   chementhusiat   154   Asked 6 years ago
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