Question

divide 3 x square minus 5 x minus 2 by x minus 2​

Answer 1

Solution:

By division method, we can easily find out the quotient and remainder.

x - 2) 3x² - 5x - 2 ( 3x + 1

        3x² - 6x

     -        +

—————————————

                   x - 2

                   x - 2

                 -    +

—————————————

                       0

So,

→ Quotient = 3x + 1

→ Remainder = 0

Verification:

We know that,

→ Dividend = Divisor × Quotient + Remainder

Here,

→ Dividend = 3x² - 5x - 2

→ Divisor = x - 2

→ Quotient = 3x + 1

→ Remainder = 0

So,

Divisor × Quotient + Remainder

= (x - 2)(3x + 1) + 0

= x(3x + 1) - 2(3x + 1)

= 3x² + x - 6x - 2

= 3x² - 5x - 2

= Dividend.

∆ So, our answer is correct (Verified)

Answer 2

Step-by-step explanation:

Solution:

• By division method, we can easily find out the quotient and remainder.

⭐ x - 2) 3x² - 5x - 2 ( 3x + 1

        3x² - 6x

     -        +

—————————————

                   x - 2

                   x - 2

                 -    +

—————————————

                       0

So,

→ Quotient = 3x + 1

→ Remainder = 0

Verification:

⭐We know that,

→ Dividend = Divisor × Quotient + Remainder

Here,

⭐→ Dividend = 3x² - 5x - 2

→ Divisor = x - 2

→ Quotient = 3x + 1

→ Remainder = 0

So,

⭐Divisor × Quotient + Remainder

= (x - 2)(3x + 1) + 0

= x(3x + 1) - 2(3x + 1)

= 3x² + x - 6x - 2

= 3x² - 5x - 2

= Dividend.

∆ So, our answer is correct (Verified)

hope this helps you!!