i need some help with these factoring problems?

Question

1st:z4 - 10z2 + 9

2nd:z2(2z - 1) = 0

3rd:y3 + 6y2 = 27y

4th:10t2 - 9t = 1

5th:(u + 3)(u - 3) = 8u

6th:(x2 - 1)(x2 + 3x + 2) = 0

7th:x2(x4 + 16) = 8x4

8th:0.2x2 - 1.1x + 0.5 = 0

Answer 1

1st:z4 - 10z2 + 9
z^4-9z^2-z^2+9
z^2(z^2-9)-1(z^2-9)
(Z62-9)(z^2-1)
(z+3)(z-3)(z+1)(z-1)

2nd:z2(2z - 1) = 0
z^2=0 or z=0
2z-1=0 or z=1/2

3rd:y3 + 6y2 = 27y
y^3+6y^2-27y=0
y(y^2+6y-27)=0
y(y+9)(y-3)=0
y=0 or -9 or 3

4th:10t2 - 9t = 1
10t^2-9t-1=0
10t^2-10t+t-1=0
(10t+1)(t-1)=0
t=-1/10 or 1

5th:(u + 3)(u - 3) = 8u
u^2-8u-9=0
(u-9)(u+1)=0
u=9 or -1

6th:(x2 - 1)(x2 + 3x + 2) = 0
(x+1)(x-1)(x+2)(x+1)=0
x=1,-1,-2,-1

7th:x2(x4 + 16) = 8x4
x^6-8x^4+16x^2=0
x^2(x^4-8x^2+16)=0
x^2(x^2-4)^2=0
x^2(x+2)(x-2)(x+2)(x-2)=0
x=0 or+2 or -2

8th:0.2x2 - 1.1x + 0.5 = 0
multiplying by 10
2x^2-11x+5=0
(2x-1)(x-5)=0
x=1/2 or 5

Answer 2

1) z4 - 10z² + 9 = (z² -1)(z² - 9)
2) z²(2z - 1) = 0
z² = 0
or
2z = 1
z = 1/2
3) y³ + 6y² = 27y
y³ + 6y - 27 = (y - 3)³ = (y + 3)²(y - 3)
4)10t² - 9t = 1
t(10t - 9) = 1
5) (u + 3)(u - 3) = 8u
u² -3² - 8u =
u² - 8u - 9 =
u(u - 8) - 9
6) (x² - 1)(x² + 3x + 2) = 0
7) x²(x^4 + 16) = 8x^4
x^6 + 16x² - 8x^4 =
x²(x^4 - 8x² + 16) = x²(x² - 4)(x² - 4)
<>>

Answer 3

1. x=1 or x=-1 or x=3 or x=-3
2. z=0 or z=0 or z=1/2
3. y=0 or y=9 or y=-3
4. t=-1/10 or t=1
5. u=9 or u=-1
6. x=1 or x=-1 or x=-2 or x=-1
7. x=0 or x=0 or x=-2 or x=2 or x=-2 or x=2
8. x=5 or x=1/2

DO YOUR OWN HW!!!!

Answer 4

1.)
z^4 - 10z^2 + 9
(z^2 - 9)(z^2 - 1)
(z - 3)(z + 3)(z - 1)(z + 1)

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2.)
z^2(2z - 1) = 0

Unless you mistyped something, this is already factored

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3.)
y^3 + 6y^2 = 27y
y^3 + 6y^2 - 27y = 0
y(y^2 + 6y - 27) = 0
y(y + 9)(y - 3) = 0

4.)
10t^2 - 9t = 1
10t^2 - 9t - 1 = 0
(10t + 1)(t - 1) = 0

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5.)
(u + 3)(u - 3) = 8u
u^2 - 9 = 8u
u^2 - 8u - 9 = 0
(u - 9)(u + 1) = 0

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6.)
(x^2 - 1)(x^2 + 3x + 2) = 0
(x - 1)(x + 1)(x + 2)(x + 1) = 0

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7.)
x^2(x^4 + 16) = 8x^4
x^6 + 16x^2 = 8x^4
x^6 - 8x^4 + 16x^2 = 0
x^2(x^4 - 8x^2 + 16) = 0
x^2(x^2 - 4)(x^2 - 4) = 0
x^2(x - 2)(x + 2)(x - 2)(x + 2)
or
x^2(x^2 - 4)^2

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8.)
.2x^2 - 1.1x + .5 = 0
2x^2 - 11x + 5 = 0
(2x - 1)(x - 5) = 0

Answer 5

Doesn't look like you need help, it looks like you want someone to do your homework for you.

Answer 6

are you just trying to get people to do your homework for you????