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 −4x5−3x4+8x7−6x can be rewritten as 8x7 - 4x5 - 3x4 - 6x.
This expression has four terms: 8x7, -4x5, -3x4, and -6x.
The degree of a term is determined by the exponent on the variable. The term with the highest exponent is 8x7, which has a degree of 7. Therefore, the degree of the expression is 7, not 4 as the student stated.
Additionally, the leading coefficient is the coefficient of the term with the highest degree. In this case, the leading coefficient is 8, not a negative coefficient as the student stated.