Algebra.
posted by Unknown on .
Help?
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 / y^2  4y^2 / y^2 =0

1. x^4(x^2  25) = 0
x^4(x+5)(x5) = 0
x=0 or x=5 or x=5
2. x^3  3y^2  16y + 48=0
use grouping
y^2(y3)  16(y  3) = 0
(y3)(y^2  16) = 0
(y3)(y+4)(y4) = 0
y = 3 or y = 4 or y = 4
3, 4 done the same way
5. x^3  7x^2 + 5x + 30 = 0
 now simple or easy solution, are you you typed it correctly?
6. take out common factor of a^2, then it becomes easy
7 .
3x^4  4n^2 + 1 = 0
let n^2 = x, we get
3x^2  4x + 1 = 0
(3x  1)(x  1) = 0
x = 1/3 or x = 1
then n^2 = 1/3 or n^2 = 1
n = 1/±√3 or n = ± 1
8. move everbody to the left, then factor
9. similar to #7
10 8y^4 / y^2  4y^2 / y^2 =0
8y^2  4 = 0
divide by 4
2y^2  1 = 0
y^2 = 1/2
y = ± 1/√2 
#5 should say:
 not a simple or easy solution, are you you typed it correctly? 
Sorry No Didn't .
It should have been 35 
Can You explain how to do 3?
i know it's like 2, but then if i factor everything out there's nothing left to make my two equations right?!