A student states that −4x5−3x4+8x7−6x
has four terms, a degree of 4, and a negative leading coefficient.
Is the student correct? Explain
No, the student is not correct. The expression given does not have four terms. The terms in the expression are: -4x^5, -3x^4, 8x^7, and -6x. Therefore, the expression has four terms.
However, the degree of the expression is the highest power of x, which is 7 in this case. Therefore, the degree of the expression is not 4.
Lastly, the leading coefficient is the coefficient of the term with the highest power of x. In this case, the leading coefficient is 8, which is positive, not negative. Therefore, the student's statement about the leading coefficient is also incorrect.