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Which of the following is the example of Trinomial?
- a)9x3 + 5x2 + 7x + 2
- b)9
- c)7x - 2
- d)5x2 + 2x - 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following is the example of Trinomial?a)9x3+ 5x2+ 7x + 2b...
Polynomials only having three terms are called Trinomials.
Hence to find trinomial polynomial, we have to find polynomial which has three terms. We can see that 5x2 + 2x - 2 has three terms namely 5x2, 2x and 2. Hence it is trinomial.
Similarly, polynomials only having one term are called Monomials and polynomials only having two terms are called Binomials.
Hence to find trinomial polynomial, we have to find polynomial which has three terms. We can see that 5x2 + 2x - 2 has three terms namely 5x2, 2x and 2. Hence it is trinomial.
Similarly, polynomials only having one term are called Monomials and polynomials only having two terms are called Binomials.
Most Upvoted Answer
Which of the following is the example of Trinomial?a)9x3+ 5x2+ 7x + 2b...
Polynomials only having three terms are called Trinomials.
Hence to find trinomial polynomial, we have to find polynomial which has three terms. We can see that 5x2 + 2x - 2 has three terms namely 5x2, 2x and 2. Hence it is trinomial.
Similarly, polynomials only having one term are called Monomials and polynomials only having two terms are called Binomials.
Hence to find trinomial polynomial, we have to find polynomial which has three terms. We can see that 5x2 + 2x - 2 has three terms namely 5x2, 2x and 2. Hence it is trinomial.
Similarly, polynomials only having one term are called Monomials and polynomials only having two terms are called Binomials.
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Community Answer
Which of the following is the example of Trinomial?a)9x3+ 5x2+ 7x + 2b...
Understanding Trinomials
A trinomial is a polynomial expression that consists of three terms. These terms can include constants, variables, and their combinations. The general form of a trinomial is expressed as:
- ax² + bx + c
where \( a \), \( b \), and \( c \) are coefficients and can be any real numbers.
Identifying the Given Options
Let’s analyze the options provided:
Conclusion
The correct answer is option 'D' because it is the only expression that fits the definition of a trinomial, containing exactly three terms. Understanding the structure of polynomials is essential for solving algebraic problems effectively.
A trinomial is a polynomial expression that consists of three terms. These terms can include constants, variables, and their combinations. The general form of a trinomial is expressed as:
- ax² + bx + c
where \( a \), \( b \), and \( c \) are coefficients and can be any real numbers.
Identifying the Given Options
Let’s analyze the options provided:
- a) 9x³ + 5x² + 7x + 2 - This is a polynomial with four terms, not a trinomial.
- b) 9 - This is a constant term and not a polynomial, hence not a trinomial.
- c) 7x - 2 - This is a binomial as it contains two terms.
- d) 5x² + 2x - 2 - This expression contains three terms (5x², 2x, and -2), making it a trinomial.
Conclusion
The correct answer is option 'D' because it is the only expression that fits the definition of a trinomial, containing exactly three terms. Understanding the structure of polynomials is essential for solving algebraic problems effectively.
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Which of the following is the example of Trinomial?a)9x3+ 5x2+ 7x + 2b)9c)7x - 2d)5x2+ 2x - 2Correct answer is option 'D'. Can you explain this answer?
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