Algebra 2 10 Questions Solve

Question

Perform the indicated operation.

(2x - 2)2

(c8 - 6)(c2 - 4c - 2)

(4x3 + 20x2 + 12x - 16) / (x - 4)

(b + 3)(b + 3)(b + 2)

(3x4 - 2x3 + 5x - 3) / (x2 - 3x + 1)

(3x + 1)3

(5x2 - 2) - (4x2 + 6x - 4)

Factor the polynomial completely.

4a2 - 12a + 8

5x4 - 80

2z3 - 3z2 + 4z - 3

Answer 1

(2x-2)^2= 4x^2-8x+4

(c^8-6)(c^2-4c-2)= c^10 4c^9--2c^8-6c^2+24c+12

(4x^3+20x^2+12x-16)/(x-4)=4x^2+ 36x+156 plus temainder 528

use long or synthetic division

4| 4 20 12 -16

16 144 544

4 36 156 528

(b+3)(b+3)(b+2)=(b^2+6b+9)(b+2)=b^3+8b^2+21b+18

(3x^4-2x^3+5x-3)/(x^2-3x+1)= 3x^2+7x^3-3x^2 +some more

(3x+1)^3=27x^3+27x^2+9x+1

(5x^2-2) - (4x^2+6x-4)= x^2-6x +2

factors:

4a^2-12a +8 =(4a-8)(a-1)

5x^4-80= 5(x^4-16)=5(x^2+4)(x+4)(x-4)

2z^3-3z^2 +4z-3

=(z-1)(2z^2 -z+3)