Choose the best response to descrive the polynomial. -4x^3-2x^2+2x
A) The coefficients are all negative
B) The leading coefficient is negative
C) It is a binomial
D) It is of degree four.
I was thinking it is c could someone tell me if I am right! Thanks!
Binomial means "two terms" I count three of them
the coefficient of 2x is positive
I don't see a term with degree four
so I guess that leaves .....
It leaves b thank you Reiny!
To determine the best response to describe the given polynomial -4x^3-2x^2+2x, we need to examine its characteristics.
A) The coefficients are all negative: This response is incorrect because there is a positive coefficient, 2, present in the polynomial.
B) The leading coefficient is negative: This response is correct. The leading coefficient is the coefficient of the term with the highest exponent, which is -4 in this case.
C) It is a binomial: This response is incorrect. A binomial consists of two terms connected by either addition or subtraction. However, this polynomial has three terms.
D) It is of degree four: This response is incorrect. The degree of a polynomial is determined by the term with the highest exponent. In this case, the highest exponent is 3, so the polynomial is of degree three.
Therefore, the correct answer is B) The leading coefficient is negative.