Question

2x^3+ 7x^2+2x+9 divided by x+3 along with verification

Answer 1

Step-by-step explanation:

x + 3)2x³ + 7x² + 2x + 9(2x² + x - 1

2x³ + 6x²

(-) (-)

______________

x² + 2x + 9

x² + 3x

(-) (-)

_________

-x + 9

-x - 3

(+) (+)

______

12

Here,

Dividend = 2x³ + 7x² + 2x + 9

Divisor = x + 3

Quotient = 2x² + x - 1

Remainder = 12

Verification :-

As we know that :-

• Dividend = Divisor × Quotient + Remainder

It means,

Dividend = (x + 3)(2x² + x - 1) + 12

» 2x³ + x² - x + 6x² + 3x - 3 + 12

» 2x³ + 7x² + 2x + 9

Hence,

Verified..

Answer 2

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