Binomial Theorem and Rational Expressions
List the first 3 terms of the following binomial:
(x + y)5
x5 + 5x4y + 10x3y2...
Divide the following polynomial:
(6x3 - 5x2 + 3)/3x
2x2 - (5/3)x + 1/x
Find the conjugate for the following complex number:
4 + 5i
4 - 5i
Simplify the following expression:
log54 + log520 - log53.2
log525 = 2
Solve the following trig equation:
5 - 2sin x = 4
x = pi/6 and 5pi/6
list the first three terms of the following binomial:
(x - y)13
x13 - 13x12y + 78x11y2
Divide the following polynomial
(7x6 - 6x4 + 3x2 - 5x)/3x2
(7/3)x4 - 2x2 + 1 - (5/3x)
This is Mr. Gregg's favorite sport!
What is hockey.
2log63 + 3log62 - log62
log636 = 2
rad 2 + 2cos x = 0
x = 3pi/4 and 5pi/4
list the first 3 terms of the following binomial:
(2x + 3)9
512x9 + 6912x8 + 41472x7
or
(2x)9 + 9*28*3x8 + 9C2*27*9x7Use synthetic division to find k if: (3x3 - 8x2 -4x + k)/(x - 3) and the remainder is 11.
k = 7
if z = 2 + 3i find z + z(bar), z - z(bar), and z*z(bar)
z + z(bar) = 4
z - z(bar) = 6i
z * z(bar) = 13
Solve the given equation for x.
5 - e2x + 1 = 2
x = 0.05
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What is psychology
Divide:
(x2 - 4)/3x Divide by (x - 2)/9x2
3x(x+2)
Solve for k if: 2x3 -3x - k / (x + 2) and the remainder is -5.
k = 5
If z = -2 + 2i find z + z(bar), z - z(bar), and z * z(bar)
+: -4
-: 4i
* : 8
Solve the log equation for x
log(x2 - 10) = log(3x)
x = 5
If tan A = 5/8, find Tan 2B
Hint: Tan 2B = 2tanA/(1-tan2A)
tan 2B = 80/39
Divide:
(x2 - 16)/(x+1) divide by 4x2 + 16x)/(3x + 3)
3(x - 4)/4x
Use the quadratic formula to solve:
2x2 - 3x + 7 = 0
x = (3 +/- rad47i)/4
if z = -4i + 3, find z + z(bar), z - z(bar) and z * z(bar)
+: 6
-: -8i
*: 25
Solve the inequality:
log (2x + 3) < log (x+4)
-3/2 < x < 1
If cos x = 2/3, find sec 2x. Hint: sec 2x = 1/2cos2x - 1
Sec 2x = -9