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All Questions
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237984 Questions
0
50
1
+357
Algebra
What is the coefficient of x^2 in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 8x + 7x + 1)?
Iampanda
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cwimie
Jan 22, 2025
0
38
1
+357
Algebra
What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?
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cwimie
Jan 22, 2025
0
52
1
+357
Algebra
There exists a polynomial f(x) and a constant k such that
(x^2 - 2x - 5) f(x) = x^4 - 2x^3 + kx^2
What is k?
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cwimie
Jan 22, 2025
0
48
1
+357
Algebra
Determine all of the following for f(x) \cdot g(x), where f(x) = -7x^4-3x^2 + 2 and g(x) = 2x^8 - 3x^7 + 5x^6 + 3x^5 - 11x^4 + 3x^3 - 18x^2 + 17x - 5.
Leading term:
Leading coefficient:
Degree:
read more ..
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cwimie
Jan 22, 2025
Jan 21, 2025
0
56
0
+1844
Number Theory
For a certain positive integer $n$, the number $n^{6873}$ leaves a remainder of $3$ when divided by $23.$ What remainder does $n$ leave when divided by $23$?
blackpanther
Jan 21, 2025
0
38
1
+1844
Number Theory
For an integer $n,$ let $f(n)$ be the remainder when $n^8 + n^{16}$ is divided by $5.$ Compute $f(0) + f(1) + f(2) + f(3) + f(4).$
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blackpanther
Jan 21, 2025
Jan 20, 2025
0
40
1
+1844
Algebra
Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___
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blackpanther
Jan 20, 2025
0
44
1
+1844
Algebra
The parabola y = ax^2 + bx + c is graphed below. Find a + b + c. (The grid lines are one unit apart.)
The parabola passes through (-2,8), (0,0), and (2,8).
Owinner
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blackpanther
Jan 20, 2025
0
37
2
+1844
Algebra
Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.
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blackpanther
Jan 20, 2025
+1
34
2
+5
Need help with inverse trig functions
$\arccos \sqrt{\cfrac{1+\sqrt{\cfrac{1+\sqrt{\cfrac{1-\sqrt{\cfrac{1+\cfrac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}$. Need some help solving this asap.
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Itsjustpixelz
Jan 20, 2025
0
35
1
+1661
Geometry
A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point P on the edge of the table (as shown below) has a distance of 6 from one wall, and a distance of 6 from the other wall. Find the radius of the
read more ..
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kittykat
Jan 20, 2025
0
55
0
+1661
Geometry
Lines $XQ$ and $XR$ are tangent to a circle, as shown below. If $\angle XTU = 47^\circ$ and $\angle QAU = 65^\circ,$ then find $\angle QXR,$ in degrees.
kittykat
Jan 20, 2025
0
42
0
+1661
Geometry
Two tangents $\overline{PA}$ and $\overline{PB}$ are drawn to a circle, where $P$ lies outside the circle, and $A$ and $B$ lie on the circle. The length of $\overline{AB}$ is $4,$ and the circle has a radius of $5.$ Find the length $AB.$
read more ..
kittykat
Jan 20, 2025
0
51
0
+1661
Geometry
We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 8,$ $BK = 2$, and $CK = 3,$ then what is $AB$?
kittykat
Jan 20, 2025
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