Question

divide write the quotient and the reminder
$(5 {x}^{3} - 3 {x}^{2}) \div {x}^{2}$
​

Answer 1

Solution:

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

x² ) 5x³ - 3x² (5x - 3

     5x³

    ( - )

------------------------

             -3x²

             -3x²

             ( + )

------------------------

               0

So, quotient = 5x - 3 and remainder = 0

Answer:

• Q = 5x - 3
• R = 0

Verification:

We know that,

→ Dividend = Divisor × Quotient + Remainder

Dividend = 5x³ - 3x²

Divisor × Quotient + Remainder,

= x² × (5x - 3) + 0

= 5x × x² - 3 × x²

= 5x³ - 3x²

= Dividend.

So, our answer is correct (Verified)

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