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Which of the following is the coefficient of x in the polynomial 7x2 + 6x - 2?
- a)-2
- b)6
- c)7
- d)2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following is the coefficient of x in the polynomial 7x2 +...
As per the observation made from the polynomial 7x2 + 6x - 2, x is being multiplied by the number 6. Therefore, it is hereby deduced that 6 is the coefficient of x in the polynomial 7x2 + 6x - 2. Furthermore, 7 cannot be the coefficient of x as it is being multiplied by x2.
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Which of the following is the coefficient of x in the polynomial 7x2 +...
Understanding Polynomials
Polynomials are algebraic expressions that consist of variables raised to non-negative integer powers and their coefficients. In this case, we are examining the polynomial:
7x² + 6x - 2
Identifying Coefficients
In a polynomial, the coefficient is the numerical factor that multiplies a variable. For example, in the term 6x, the coefficient of x is 6.
Breaking Down the Terms
- 7x²: The coefficient of x² is 7.
- 6x: The coefficient of x is 6.
- -2: This is a constant term and does not include any variable.
Focusing on the Coefficient of x
To find the coefficient of x in the polynomial:
- Look specifically at the term that includes x, which is 6x.
- The number that multiplies x in this term is 6.
Conclusion
Thus, the coefficient of x in the polynomial 7x² + 6x - 2 is:
- 6
This means the correct answer is option 'B'.
Always remember, when identifying coefficients in a polynomial, focus on the term that contains the variable you are interested in.
Polynomials are algebraic expressions that consist of variables raised to non-negative integer powers and their coefficients. In this case, we are examining the polynomial:
7x² + 6x - 2
Identifying Coefficients
In a polynomial, the coefficient is the numerical factor that multiplies a variable. For example, in the term 6x, the coefficient of x is 6.
Breaking Down the Terms
- 7x²: The coefficient of x² is 7.
- 6x: The coefficient of x is 6.
- -2: This is a constant term and does not include any variable.
Focusing on the Coefficient of x
To find the coefficient of x in the polynomial:
- Look specifically at the term that includes x, which is 6x.
- The number that multiplies x in this term is 6.
Conclusion
Thus, the coefficient of x in the polynomial 7x² + 6x - 2 is:
- 6
This means the correct answer is option 'B'.
Always remember, when identifying coefficients in a polynomial, focus on the term that contains the variable you are interested in.
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Which of the following is the coefficient of x in the polynomial 7x2 + 6x - 2?a)-2b)6c)7d)2Correct answer is option 'B'. Can you explain this answer?
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