No, the student is not correct.
A term is a separate part of an algebraic expression that is separated by an addition or subtraction sign. In the given expression, there are five terms: -4x^5, -3x^4, 8x^7, -6x. Therefore, the expression has five terms, not four.
The degree of a term is determined by the exponent of its variable. The term with the highest degree determines the degree of the expression. In the given expression, the term with the highest degree is 8x^7, which has a degree of 7. Therefore, the expression has a degree of 7, not 4.
The leading coefficient is the coefficient of the term with the highest degree. In the given expression, the coefficient of the term with the highest degree is positive 8. Therefore, the leading coefficient is positive, not negative.
In conclusion, the student has made incorrect statements about the number of terms, the degree, and the leading coefficient of the expression.
A student states that -4x^5 - 3x^4 + 8x^7 - 6x has four terms, a degree of 4, and a negative leading coefficient. Is the student correct? Explain
5 answers
you sure?
Apologies for the confusion in my response. Let's reevaluate the terms of the expression and check whether the student's statements are correct.
The given expression is -4x^5 - 3x^4 + 8x^7 - 6x.
There are four terms in this expression: -4x^5, -3x^4, 8x^7, and -6x. So the student is correct that there are four terms.
To determine the degree of the expression, we need to find the highest exponent of x. In this case, the highest exponent is 7, which corresponds to the term 8x^7. Therefore, the student is correct that the degree of the expression is 7.
Next, let's consider the leading coefficient, which is the coefficient of the term with the highest degree. In this case, the term with the highest degree is 8x^7, and its coefficient is positive 8. Hence, the student is incorrect in stating that the leading coefficient is negative.
In summary, the student is correct about the number of terms and the degree of the expression. However, the student is incorrect about the leading coefficient, which is positive.
The given expression is -4x^5 - 3x^4 + 8x^7 - 6x.
There are four terms in this expression: -4x^5, -3x^4, 8x^7, and -6x. So the student is correct that there are four terms.
To determine the degree of the expression, we need to find the highest exponent of x. In this case, the highest exponent is 7, which corresponds to the term 8x^7. Therefore, the student is correct that the degree of the expression is 7.
Next, let's consider the leading coefficient, which is the coefficient of the term with the highest degree. In this case, the term with the highest degree is 8x^7, and its coefficient is positive 8. Hence, the student is incorrect in stating that the leading coefficient is negative.
In summary, the student is correct about the number of terms and the degree of the expression. However, the student is incorrect about the leading coefficient, which is positive.
are you sure?
Apologies for the confusion. Let's reevaluate the terms and the student's statements.
The given expression is -4x^5 - 3x^4 + 8x^7 - 6x.
There are four terms in this expression: -4x^5, -3x^4, 8x^7, and -6x. So the student is correct that there are four terms.
To determine the degree of the expression, we need to find the highest exponent of x. In this case, the highest exponent is 7, which corresponds to the term 8x^7. Therefore, the student is correct that the degree of the expression is 7.
Next, let's consider the leading coefficient, which is the coefficient of the term with the highest degree. In this case, the term with the highest degree is 8x^7, and its coefficient is positive 8. Hence, the student is incorrect in stating that the leading coefficient is negative.
In summary, the student is correct about the number of terms and the degree of the expression. However, the student is incorrect about the leading coefficient, which is positive.
The given expression is -4x^5 - 3x^4 + 8x^7 - 6x.
There are four terms in this expression: -4x^5, -3x^4, 8x^7, and -6x. So the student is correct that there are four terms.
To determine the degree of the expression, we need to find the highest exponent of x. In this case, the highest exponent is 7, which corresponds to the term 8x^7. Therefore, the student is correct that the degree of the expression is 7.
Next, let's consider the leading coefficient, which is the coefficient of the term with the highest degree. In this case, the term with the highest degree is 8x^7, and its coefficient is positive 8. Hence, the student is incorrect in stating that the leading coefficient is negative.
In summary, the student is correct about the number of terms and the degree of the expression. However, the student is incorrect about the leading coefficient, which is positive.
1 answer