Divide 2x² + 3x + 1 by x + 2

Solution:

We will use the long division and then verify using the division algorithm method

Verification:

Dividend = divisor × quotient + remainder

2x² + 3x + 1 = (x + 2) × (2x - 1) + 3

2x² + 3x + 1 = 2x² + 4x - x - 2 + 3

2x² + 3x + 1 = 2x² + 3x + 1

LHS = RHS

Hence Verified

☛ Check: NCERT Solutions for Class 10 Maths Chapter 2

Divide 2x² + 3x + 1 by x + 2

Summary:

The quotient and remainder of the polynomial 2x² + 3x + 1 when divided by x + 2 is 2x - 1 and 3 respectively

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