Can anyone factor Trinomials?

Question

Question 1 text Question 1 1 points Save
Factor the polynomial completely. If the polynomial cannot be factored, write prime.

9k3m - 30k2m2 + 25km3
Question 1 answers
(9k2m + km)(k + 25m2)
km(3k + 5m)2
km(3k- 5m)(3k + 5m)
km(3k - 5m)2

Question 2 text Question 2 1 points Save
Factor the polynomial completely. If the polynomial cannot be factored, write prime.

6x2y2 - 13xy2 + 6y2
Question 2 answers
y2(x - 3)(6x - 2)
y2(2x - 3)(3x - 2)
(3x - 3y)(2x - 2y)
(2x - 3y)(3x - 2y)

Question 3 text Question 3 1 points Save
Factor the polynomial completely. If the polynomial cannot be factored, write prime.

z2 - 4z + 4
Question 3 answers
(z - 2)(z + 2)
(z - 2)2
(z + 2)2
(z - 4)(z + 4)

Question 4 text Question 4 1 points Save
Find a positive value of the given variable so that the trinomial is factorable.

13z2 + bz + 1; b = ?
Question 4 answers
14
12
15
13

Question 5 text Question 5 1 points Save
Factor the polynomial completely. If the polynomial cannot be factored, write prime.

x2 - 15x + 225
Question 5 answers
(x + 15)2
(x + 15)(x - 15)
(x - 15)2
prime

Question 6 text Question 6 1 points Save
Factor the polynomial completely. If the polynomial cannot be factored, write prime.

x2 + 15xy + 56y2
Question 6 answers
(x - 7y)(x + 8y)
(x - 7y)(x + y)
(x + 7y)(x + 8y)
prime

Question 7 text Question 7 1 points Save
Factor the polynomial completely. If the polynomial cannot be factored, write prime.

5x6 - 50x5 + 45x4
Question 7 answers
x4(x - 1)(5x - 45)
x4(5x - 5)(x - 9)
5x4(x2 - 10x + 9)
5x4(x - 1)(x - 9)

Question 8 text Question 8 1 points Save
Find a positive value of the given variable so that the trinomial is factorable.

x2 + bx - 5; b = ?
Question 8 answers
6
4
5
7

Question 9 text Question 9 1 points Save
Factor the polynomial completely. If the polynomial cannot be factored, write prime.

4x2 - 24x + 32
Question 9 answers
4(x - 8)(x + 1)
4(x - 2)(x - 4)
(x - 2)(4x - 16)
prime

Question 10 text Question 10 1 points Save
Write the perimeter of the rectangle as a simplified polynomial. Then factor this polynomial completely.

54x2

6x3 + 120x
Question 10 answers
12(x2 + 4)(x + 5)
6x(x + 20)(x + 9)
12x(x + 4)(x + 5)
6x2(x + 4)(x + 5)

Answer 1

Are you nuts? All this crap for 2 points. Forget it.

Answer 2

1) 9k^3m - 30k^2m^2 + 25km^3
= km(9k^2 - 30 km + 25m^2)
= km(3k - 5m)^2

2) 6x^2y^2 - 13xy^2 + 6y^2
= y^2(6x^2 - 13x + 6)
= y^2(2x - 3)(3x - 2)

3) z^2 - 4z + 4
= (z - 2)^2

4) 13z^2 + bz + 1
Since the last term is 1 and b is positive therefore
= (13z + 1)(z + 1)
= 13z^2 + 14z + 1
==> b = 14

5) x^2 - 15x + 225
This does not factor out, therefore it is Prime

6) x^2 + 15xy + 56y^2
= (x + 7y)(x + 8y)

7) 5x^6 - 50x^5 + 45x^4
= 5x^4(x^2 - 10x + 9)
= 5x^4(x - 1)(x - 9)

8) x2 + bx - 5
Since the last term is -5 and b is positive therefore
= (x + 5)(x - 1)
= x^2 + 4x - 5
==> b = 4

9) 4x^2 - 24x + 32
= 4(x^2 - 6x + 8)
= 4(x - 2)(x - 4)

10) P = 2*(l+w)
= 2*(54x^2 + 6x^3 + 120x)
= 2*6x*(9x + x^2 + 20)
= 12x*(x^2 + 9x + 20)
= 12x(x +4)(x + 5)