Question

Divide ( 6x^3 - 17x^2 + 8x -1 ) divided by ( 3x - 1 )

Answer 1

Answer:

2x^2 - 5x + 1.

Step-by-step explanation:

3x - 1 ) 6x^3 - 17x^2 + 8x - 1 ( 2x^2 - 5x + 1

           6x^3 -  2x^2

                    - 15x^2 + 8x

                    - 15x^2 + 5x

                                    3x - 1

                                     3x - 1

Answer 2

Answer:

$(6x^3 - 17x^2 + 8x - 1) (3x - 1) : 18x^4 - 57x^3 + 41x^2 - 11x + 1$

Step-by-step explanation:

$( 6x^3 - 17x^2 + 8x -1 ) ( 3x - 1 )$

Distribute parentheses:

$=6x^3\cdot \:3x+6x^3\left(-1\right)+\left(-17x^2\right)\cdot \:3x+\left(-17x^2\right)\left(-1\right)+8x\cdot \:3x+8x\left(-1\right)+\left(-1\right)\cdot \:3x+(-1)(-1)$

Apply minus - plus rules: $+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab$

$=6\cdot \:3x^3x-6\cdot \:1\cdot \:x^3-17\cdot \:3x^2x+17\cdot \:1\cdot \:x^2+8\cdot \:3xx-8\cdot \:1\cdot \:x-1\cdot \:3x+1\cdot \:1$

Simplify:

$6 * 3x^3x - 6 * 1 * x^3 - 17 * 3x^2x + 17 * 1 * x^2 + 8 * 3xx - 8 * 1 * x - 1 * 3x + 1 * 1: 18x^4 - 57x^3 + 41x^2 - 11x + 1$

Final Answer:

$= 18x^4 - 57x^3 + 41x^2 - 11x + 1$

Hope I helped, if so may I get brainliest and a thanks?

Thank you, have a good day! =)