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What is the degree of a polynomial of 4x7 + 9x5 + 5x2 + 11?
- a)7
- b)4
- c)5
- d)2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the degree of a polynomial of 4x7+ 9x5+ 5x2+ 11?a)7b)4c)5d)2Co...
Degree of a polynomial is the highest power of variable in a polynomial.
The term with the highest power of x is 4x7 and exponent of x in that term is 7, so the degree of polynomial of 4x7 + 9x5 + 5x2 + 11 is 7.
The term with the highest power of x is 4x7 and exponent of x in that term is 7, so the degree of polynomial of 4x7 + 9x5 + 5x2 + 11 is 7.
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What is the degree of a polynomial of 4x7+ 9x5+ 5x2+ 11?a)7b)4c)5d)2Co...
Degree of a polynomial is the highest power of variable in a polynomial.
The term with the highest power of x is 4x7 and exponent of x in that term is 7, so the degree of polynomial of 4x7 + 9x5 + 5x2 + 11 is 7.
The term with the highest power of x is 4x7 and exponent of x in that term is 7, so the degree of polynomial of 4x7 + 9x5 + 5x2 + 11 is 7.
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What is the degree of a polynomial of 4x7+ 9x5+ 5x2+ 11?a)7b)4c)5d)2Co...
The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the polynomial is 4x^7 + 9x^5 + 5x^2 + 11.
To determine the degree of this polynomial, we need to look for the term with the highest power of x.
- Identify the terms and their degrees
The polynomial consists of four terms: 4x^7, 9x^5, 5x^2, and 11. The degrees of these terms are as follows:
- 4x^7 has a degree of 7
- 9x^5 has a degree of 5
- 5x^2 has a degree of 2
- 11 is a constant term and has a degree of 0.
- Compare the degrees and determine the highest degree
Since the degree of 7 (from the term 4x^7) is the highest among all the terms in the polynomial, the degree of the polynomial is 7.
- Explain the correct answer
Therefore, the correct answer is option 'A', which states that the degree of the polynomial is 7.
To determine the degree of this polynomial, we need to look for the term with the highest power of x.
- Identify the terms and their degrees
The polynomial consists of four terms: 4x^7, 9x^5, 5x^2, and 11. The degrees of these terms are as follows:
- 4x^7 has a degree of 7
- 9x^5 has a degree of 5
- 5x^2 has a degree of 2
- 11 is a constant term and has a degree of 0.
- Compare the degrees and determine the highest degree
Since the degree of 7 (from the term 4x^7) is the highest among all the terms in the polynomial, the degree of the polynomial is 7.
- Explain the correct answer
Therefore, the correct answer is option 'A', which states that the degree of the polynomial is 7.
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What is the degree of a polynomial of 4x7+ 9x5+ 5x2+ 11?a)7b)4c)5d)2Correct answer is option 'A'. Can you explain this answer?
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What is the degree of a polynomial of 4x7+ 9x5+ 5x2+ 11?a)7b)4c)5d)2Correct answer is option 'A'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What is the degree of a polynomial of 4x7+ 9x5+ 5x2+ 11?a)7b)4c)5d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the degree of a polynomial of 4x7+ 9x5+ 5x2+ 11?a)7b)4c)5d)2Correct answer is option 'A'. Can you explain this answer?.
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