Can someone please post up some questions for dividing polynomial by factoring? I need to practice fo an upcoming test...
What kinds of polynomials? Can you give an example, please?
Something like
7x^2 + 46x + 24 y^2 that factors into (ax+by)(cx*dy),
or something like
6x^5 + 21x^4 + 13x^3 - 10x^2 -78x -36, that factors into (3x^3+2x-12)(2x^2+7x+3)
Or something else?
I got my PC to run up a hundred of each type. If you want something else, let us know.
-10x^2 -27x -18y^2
6x^2 + 30x -36y^2
32x^2 -16x -30y^2
-28x^2 -85x -22y^2
-40x^2 + 21x + 49y^2
27x^2 -33x -4y^2
-36x^2 -6x + 90y^2
15x^2 -13x -20y^2
-24x^2 -95x -50y^2
-25x^2 + 60x -35y^2
12x^2 + 16x + 4y^2
72x^2 -107x + 11y^2
10x^2 + 27x + 11y^2
-2x^2 + 2x + 24y^2
-20x^2 -7x + 6y^2
3x^2 + 17x + 22y^2
-30x^2 -105x -90y^2
2x^2 -19x -10y^2
1x^2 + 3x -108y^2
12x^2 -30x -18y^2
-12x^2 -58x -18y^2
-24x^2 + 10x + 4y^2
-10x^2 + 5x + 5y^2
6x^2 -25x + 14y^2
-20x^2 -6x + 2y^2
56x^2 -112x + 56y^2
9x^2 + 39x + 12y^2
49x^2 + 0x -9y^2
-21x^2 + 19x + 70y^2
6x^2 -1x -5y^2
-32x^2 -80x -48y^2
-6x^2 -33x -42y^2
-2x^2 -4x + 16y^2
56x^2 -44x -60y^2
16x^2 + 8x -48y^2
10x^2 + 31x + 24y^2
-7x^2 -44x + 35y^2
-21x^2 + 54x -24y^2
-2x^2 + 1x + 36y^2
35x^2 + 64x + 21y^2
36x^2 + 18x -70y^2
14x^2 + 41x -28y^2
-42x^2 + 10x + 88y^2
-63x^2 + 35x + 28y^2
16x^2 + 56x + 33y^2
15x^2 + 11x -14y^2
-14x^2 -45x + 14y^2
-1x^2 + 4x + 45y^2
16x^2 + 56x + 24y^2
-20x^2 + 74x -66y^2
-14x^2 + 36x -16y^2
7x^2 + 46x + 24y^2
4x^2 -1x -3y^2
-49x^2 + 70x -9y^2
-15x^2 -6x + 72y^2
6x^2 -3x -30y^2
-30x^2 -50x + 20y^2
-24x^2 -54x + 33y^2
20x^2 + 30x -50y^2
24x^2 -8x -66y^2
-2x^2 + 24x -40y^2
6x^2 -12x + 6y^2
48x^2 + 84x + 36y^2
18x^2 + 48x -66y^2
-18x^2 + 90x -108y^2
14x^2 -12x -32y^2
-9x^2 -80x + 9y^2
45x^2 + 29x -30y^2
5x^2 + 24x + 27y^2
8x^2 + 37x -66y^2
48x^2 + 26x -14y^2
25x^2 -45x -22y^2
-56x^2 + 172x -132y^2
-14x^2 + 57x + 27y^2
-40x^2 -66x -14y^2
10x^2 -43x + 28y^2
2x^2 -2x -4y^2
-6x^2 -25x + 9y^2
-28x^2 + 54x + 40y^2
-1x^2 + 2x + 80y^2
63x^2 + 74x -9y^2
-63x^2 + 95x -22y^2
24x^2 -42x + 18y^2
-6x^2 -18x + 24y^2
3x^2 + 29x -10y^2
30x^2 + 42x -72y^2
-32x^2 + 40x -12y^2
-12x^2 + 58x + 44y^2
-56x^2 -93x -27y^2
8x^2 + 29x -55y^2
21x^2 -90x + 24y^2
16x^2 + 0x -81y^2
-7x^2 + 48x -36y^2
-27x^2 -135x -108y^2
24x^2 + 76x + 12y^2
-12x^2 + 32x -20y^2
14x^2 + 34x + 20y^2
48x^2 -22x -15y^2
-18x^2 + 63x + 81y^2
56x^2 -102x + 22y^2
-14x^4 + 45x^3 + 1x^2 -87x + 55
60x^4 + 80x^3 + 56x^2 + 32x + 3
-36x^4 -138x^3 -180x^2 -100x + 48
36x^4 -78x^3 -55x^2 + 54x -22
-6x^4 + 25x^3 + 25x^2 -43x -10
50x^4 + 165x^3 + 138x^2 -3x -20
4x^4 + 8x^3 -61x^2 + 16x + 16
18x^4 -54x^3 + 61x^2 -7x -21
6x^4 + 18x^3 + 26x^2 + 38x -40
-8x^4 + 46x^3 + 39x^2 + 19x -21
-14x^4 + 54x^3 + 9x^2 -33x + 4
-10x^4 + 31x^3 -25x^2 -78x + 88
3x^4 -28x^3 -25x^2 -26x + 48
27x^4 -129x^3 + 174x^2 -157x + 63
3x^4 -25x^3 -111x^2 + 7x + 30
18x^4 -48x^3 + 110x^2 -104x + 84
6x^4 + 7x^3 -94x^2 -112x -32
15x^4 + 73x^3 + 49x^2 -13x -4
60x^4 -26x^3 -65x^2 + 17x + 14
-48x^4 -136x^3 -100x^2 -8x + 4
-40x^4 + 38x^3 + 214x^2 -8x -64
16x^4 + 32x^3 + 51x^2 + 5x -12
-27x^4 + 27x^3 + 144x^2 + 144x + 72
-48x^4 -86x^3 -108x^2 -114x -44
8x^4 + 0x^3 -16x^2 + 96x + 66
-40x^4 -82x^3 -91x^2 -66x + 7
-28x^4 -50x^3 -51x^2 -16x -5
35x^4 -28x^3 -3x^2 -16x -4
60x^4 -107x^3 + 103x^2 -51x + 15
-15x^4 + 26x^3 -52x^2 + 47x -30
12x^4 + 118x^3 + 128x^2 -50x -40
-56x^4 -8x^3 -18x^2 -92x + 20
108x^4 -150x^3 + 36x^2 + 20x -8
4x^4 + 30x^3 + 64x^2 + 33x + 4
15x^4 + 9x^3 + 48x^2 + 12x + 48
30x^4 -28x^3 -56x^2 + 26x + 28
16x^4 -68x^3 -98x^2 -58x -44
28x^4 -31x^3 + 76x^2 -43x + 42
-30x^4 -11x^3 -74x^2 -14x -33
-48x^4 -164x^3 -138x^2 -13x + 6
-72x^4 -24x^3 -32x^2 -5x + 33
48x^4 -60x^3 + 4x^2 -42x + 30
-4x^4 -23x^3 + 115x^2 -66x -30
18x^4 -55x^3 -40x^2 -29x -6
-8x^4 + 86x^3 -66x^2 -14x + 2
64x^4 + 184x^3 + 36x^2 -134x + 20
22x^4 -60x^3 -48x^2 + 48x -32
36x^4 -24x^3 -3x^2 -9x -30
-15x^4 + 19x^3 + 183x^2 -5x -42
22x^4 + 19x^3 -19x^2 -44x -20
-36x^4 -24x^3 + 102x^2 -90x + 30
-10x^4 -8x^3 + 52x^2 + 50x -12
2x^4 -13x^3 + 39x^2 -118x + 80
-3x^4 -29x^3 -3x^2 + 85x -18
49x^4 -7x^3 -131x^2 -198x -88
-88x^4 + 220x^3 -195x^2 + 67x -5
42x^4 -43x^3 + 28x^2 -23x -4
-14x^4 + 51x^3 -24x^2 -2x + 24
4x^4 -32x^3 + 59x^2 + 26x -24
-77x^4 + 64x^3 -14x^2 + 95x + 10
-21x^4 + 50x^3 + 94x^2 + 53x + 4
-8x^4 + 42x^3 -64x^2 -14x + 80
-8x^4 + 6x^3 + 50x^2 + 22x + 56
-40x^4 + 118x^3 -78x^2 -50x + 48
-32x^4 + 112x^3 -60x^2 + 76x + 14
-45x^4 -83x^3 + 95x^2 + 69x -36
-88x^4 -115x^3 + 102x^2 + 52x -32
-24x^4 + 40x^3 -22x^2 -24x + 30
44x^4 + 56x^3 -5x^2 + 88x + 12
-3x^4 + 23x^3 -62x^2 + 67x -15
8x^4 -8x^3 -66x^2 -86x -24
12x^4 + 52x^3 + 17x^2 + 5x + 4
-15x^4 -85x^3 -120x^2 -45x + 5
-9x^4 -7x^3 + 91x^2 -21x + 10
-4x^4 -12x^3 + 66x^2 -94x + 48
25x^4 -15x^3 -143x^2 + 126x -18
18x^4 -96x^3 + 48x^2 + 96x + 24
72x^4 + 15x^3 -34x^2 + 8x -5
70x^4 -76x^3 -1x^2 + 97x -72
-48x^4 -72x^3 -70x^2 -2x + 77
-30x^4 + 33x^3 -25x^2 + 91x + 11
-16x^4 + 36x^3 -4x^2 + 34x + 30
-63x^4 -51x^3 + 93x^2 + 33x -36
55x^4 -78x^3 + 66x^2 -92x + 24
12x^4 + 25x^3 + 30x^2 + 10x -12
-63x^4 + 34x^3 -2x^2 + 82x + 21
-30x^4 -32x^3 + 65x^2 -43x + 33
35x^4 + 85x^3 + 40x^2 + 75x -45
14x^4 + 37x^3 -72x^2 -44x + 63
66x^4 + 102x^3 -64x^2 + 46x -6
-24x^4 -68x^3 + 22x^2 + 11x -1
6x^4 -72x^3 + 106x^2 -140x + 50
24x^4 + 123x^3 + 182x^2 + 135x + 42
-12x^4 -15x^3 + 13x^2 + 7x -4
-28x^4 -27x^3 -36x^2 -36x -16
8x^4 -76x^3 -17x^2 + 22x -3
-72x^4 + 136x^3 -42x^2 -16x + 24
6x^4 -5x^3 + 46x^2 -79x + 72
-24x^4 + 96x^3 -124x^2 + 56x + 12
55x^4 + 134x^3 + 60x^2 + 33x -18
2x^2-22+56
solve '34x^4-85x^3+51x^2'
16x^2 + 56x + 33y^2
2x + 77 = 53 - 48x
40x-72y+16z i need help..
98882
Certainly! Here are a few practice questions for dividing polynomials by factoring:
1. Divide x^3 + 4x^2 - 5x - 14 by x + 2.
2. Divide 2x^4 + 7x^3 - 3x^2 - 9x + 18 by x + 3.
3. Divide 3x^5 - 5x^4 + 6x^3 - 2x^2 + 4x - 8 by x - 2.
4. Divide 4x^4 + 9x^3 + 5x^2 + 15x + 6 by 2x + 1.
To divide a polynomial by factoring, follow these steps:
Step 1: Arrange the polynomial in descending order of degrees.
Step 2: Identify a potential factor by trial and error, starting with small integers. Substitute this factor into the polynomial to check if it results in a zero remainder.
Step 3: If the factor is found, use polynomial long division or synthetic division to divide the polynomial by the factor and obtain the quotient.
Step 4: Repeat steps 2 and 3 until the polynomial can no longer be factored.
Step 5: Express the polynomial as a product of the obtained factors, including any remaining constant terms.
Remember to check your work by multiplying the quotient with the divisor to ensure it equals the original dividend.
I hope these questions and the explanation help you practice dividing polynomials by factoring!