Algebra.
posted by Unknown on .
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Solve Polynomial Equations By factoring.
1. x^625x^4=0
2. y^33y^2=16y48
3. x^3+2x^29x18=0
4. x^3+x^24x4=0
5. x^37x^2=5x30
6. a^4+2a^3+a^2=0
7. 3n^44n^2=1
8. 8x^5+10x^4=4x^3+5x^2
9. 2n^49n^2+4=0
10. 8y^4  4y^2 =0

1. x^6  25x^4 = 0.
x^4(x^225) = 0
x^4(x+5)(x5) = 0.
x+5 = 0
X = 5.
x5 = 0
X = 5.
Solution set: X = 5,and X = 5.
2. y^3  3y^2 = 16y48.
y^3  3y^2  16y + 48 = 0
(y^33y^2)  (16y48) = 0
y^2(y3)  16(y3) = 0
(y3)(y^216) = 0
(y3)(y+4(y4) = 0
Solution set: Y = 3,4, and 4.
3. x^3 + 2x^2  9x  18 = 0.
(x^3+2x^2)  (9x+18) = 0
x^2(x+2)  9(x+2) = 0
(x+2)(x^29) = 0
(x+2)(x+3)(x3) = 0.
Solution set: X = 2,3, and 3.
The remaining problems are very similar
to the previous three.