Question

Divide by simple division method (y²+5y+6)÷(y+3)

step by step explaination :

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Answer 1

Answer:

y+2 is a answer

hope you get it.

Answer 2

Question :- Divide by simple division method (y²+5y+6)÷ (y+3) ?

Points to remember in LONG METHOD DIVISION :-

⋆ Arrange the indices of the polynomial in descending order. Replace the missing term(s) with 0.

⋆ Divide the first term of the dividend (the polynomial to be divided) by the first term of the divisor. This gives the first term of the quotient.

⋆ Multiply the divisor by the first term of the quotient.

⋆ Subtract the product from the dividend then bring down the next term. The difference and the next term will be the new dividend. Note: Remember the rule in subtraction "change the sign of the subtrahend then proceed to addition".

⋆ Repeat step 2 – 4 to find the second term of the quotient.

⋆ Continue the process until a remainder is obtained. This can be zero or is of lower index than the divisor.

⋆ If the divisor is a factor of the dividend, you will obtain a remainder equal to zero. If the divisor is not a factor of the dividend, you will obtain a remainder whose index is lower than the index of the divisor.

Solution :-

y + 3 ) y² + 5y + 6( y + 2

y² + 3y

2y + 6

2y + 6

0.

Therefore,

→ Quotient = (y + 2) .

→ Remainder = 0.