Question

What is the quotient of (3x^2 − 17x + 10) ÷ (x − 5)?

A. 2x − 3
B. 2x + 3
C. 3x − 2
D. 3x + 2

Answer 1

C. 3x-2 1. you split the second terms into two terrms.

2. factor out common terms in the first two terms, then in the last two terms

3. factor out the common term 3x-2

cancel out x-5

and your left with 3x-2

Answer 2

`Solution,(\left(3x^2-17x+10\right))/(\left(x-5\right))=3x-2`

`Steps:`

`\mathrm{Factor}\:3x^2-17x+10:\quad \left(x-5\right)\left(3x-2\right), =(\left(x-5\right)\left(3x-2\right))/(x-5)`

`\mathrm{Cancel\:the\:common\:factor:}\:x-5, =3x-2`

`\mathrm{The\:Correct\:Answer\:is\:C.}`

`\mathrm{Hope\:This\:Helps!!!}`

`\mathrm{-Austint1414}`