Question

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Solve this
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If polynomial (2a + 3 ) is multiplied by (2a² + 5a + 3 ) then the degree of the answer?*

1️⃣ 1
2️⃣ 2
3️⃣ 4
4️⃣ 3
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Give full explanation.
Step by step.
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Answer 1

EXPLANATION

If polynomial (2a + 3) is multiply by (2a² + 5a + 3).

As we know that,

Multiply both the equation, we get.

⇒ (2a + 3) x (2a² + 5a + 3).

⇒ 2a(2a² + 5a + 3) + 3(2a² + 5a + 3).

⇒ 4a³ + 10a² + 6a + 6a² + 15a + 9.

⇒ 4a³ + 16a² + 21a + 9.

As we can see that,

Highest degree of polynomial = 3.

Hence, option [4] is correct answer.

Answer 2

Answer:

So, here it is asked if the polynomial (2a + 3 ) is multiplied by (2a² + 5a + 3 ) then what will be the degree of the answer.

For that, let's multiply it :

$\implies \sf (2a + 3 ) \times (2a^{2} + 5a + 3 )$

$\implies \sf 4a^{3} + 10a^{2} + 6a + 6a^{2} + 15a + 9$

Putting like terms together ;

$\implies \sf 4a^{3} + 10a^{2} + 6a^{2} + 15a + 6a + 9$

$\implies \bf 4a^{3} + 16a^{2} + 21a + 9$

Hence, the maximum degree of the polynomial is said to be the degree of polynomial.

Here, Maximum degree is 3

Then ,

Degree of polynomial will also be ' 3 '

Therefore, Option (4) is absolutely correct.