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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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Answers
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:
The degree is 3
Option-4
Step-by-step explanation:
Given:-
Polynomials are (2a + 3) and (2a^2+ 5a + 3 )
To find:-
If polynomial (2a + 3 ) is multiplied by (2a^2 + 5a + 3 ) then the degree of the answer?
Solution:-
Given Polynomials are (2a + 3) and (2a^2 + 5a + 3 )
On multiplying them
(2a + 3) × (2a^2 + 5a + 3 )
=>2a (2a^2+ 5a + 3 ) +3(2a^2 + 5a + 3 )
=>4a^3+10a^2+6a +6a^2+15a+9
=>4a^3+16a^2+21a+9
The highest of all powers of the variables present in the Polynomial is 3
Degree is 3
Answer:-
The degree of the resultant pilynomial is 3
Used concept:-
- Degree of the pilynomial:-
The highest among of all powers of the variables present in the Polynomial is the degree of the given pilynomial.