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Solve this
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If polynomial (2a + 3 ) is multiplied by (2a² + 5a + 3 ) then the

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1. 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 :

   [tex]\implies \sf (2a + 3 ) \times (2a^{2} + 5a + 3 ) \\ \\ [/tex]

   [tex]\implies \sf 4a^{3} + 10a^{2} + 6a + 6a^{2} + 15a + 9 \\ \\ [/tex]

   Putting like terms together ;

   [tex]\implies \sf 4a^{3} + 10a^{2} + 6a^{2} + 15a + 6a + 9 \\ \\ [/tex]

   [tex]\implies \bf 4a^{3} + 16a^{2} + 21a + 9 \\ \\ [/tex]

   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.

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2. 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.

   Reply