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Divide $5 a 3 − 4 a 2 + 3 a + 18$ by $a 2 − 2 a + 3$ and choose the option which represents the quotient obtained.

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6a + 5

6a – 5

5a + 6

5a – 6

answer is A.

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Detailed Solution

It is given two algebraic expressions,

5 a 3 − 4 a 2 + 3 a + 18

and

a 2 − 2 a + 3

.
So, here, we have the dividend polynomial as

5 a 3 − 4 a 2 + 3 a + 18

, and the divisor polynomial as

a 2 − 2 a + 3

.
We get,

So, it can be observed that the remainder obtained after division is 0.
Therefore, dividing

(5 a 3 − 4 a 2 + 3 a + 18)

(a 2 − 2 a + 3)

gives the quotient as

5 a + 6

.
Hence, the correct option is (1).

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