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Find the Quotient and the Remainder When : 6x2 + X − 15 is Divided by 3x +5. Verify Your Answer. - Mathematics

Sum

Find the quotient and the remainder when :
6x2 + x  − 15 is divided by 3x +5. verify your answer.

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Solution

`3"x"+5)overline(6"x"^2+"x"−15)(2"x"−3`
              6x2  + 10x
              −     −              
              −9x − 15   
              −9x − 15 
              +     +           
                  ×                  

∴ Quotient = 2x − 3 and remainder = 0

Verification : 

Dividend = Quotient × Divisor + Reminder

= (2x − 3) (3x + 5) + 0

= 6x2 + 10x − 9x − 15 + 0

= 6x2 − x − 15 which is given

Concept: Division of Algebraic Expressions - Dividing a Polynomial by a Polynomial
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 2.3 | Page 146
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