0
No, a fourth degree polynomial cannot touch the x-axis three times. A polynomial can touch the x-axis at an even number of points, which corresponds to the multiplicity of its roots. If it touches the x-axis at three points, one of those points would have to be of odd multiplicity, which would make the total multiplicity odd, contradicting the fact that a fourth degree polynomial has an even degree. Thus, it can touch the x-axis at either 0, 2, or 4 points.
What else can I help you with?
Is there a relationship between the degree of a polynomial and the number of times its graphed curve changes direction?
I think that there is not .
What is 2y to the 4th power?
The expression (2y^4) represents a term where the coefficient is 2 and the variable (y) is raised to the fourth power. This means that (y) is multiplied by itself four times, resulting in (2 \times y \times y \times y \times y). In algebraic terms, it signifies a polynomial term with a degree of 4.
One fourth times three?
Three fourths
What is one fourth times three sevenths?
One fourth times three sevenths is calculated by multiplying the numerators and denominators: ( \frac{1}{4} \times \frac{3}{7} = \frac{1 \times 3}{4 \times 7} = \frac{3}{28} ). Therefore, one fourth times three sevenths equals three twenty-eighths.
How many zeros can be a polynomial of degree 'n' have?
A polynomial of degree ( n ) can have at most ( n ) distinct zeros (roots) in the complex number system, according to the Fundamental Theorem of Algebra. These zeros may be real or complex, and they can also be repeated, meaning a polynomial can have fewer than ( n ) distinct zeros if some are counted multiple times (multiplicity). For example, a polynomial of degree 3 could have 3 distinct zeros, 2 distinct zeros (one with multiplicity 2), or 1 distinct zero (with multiplicity 3).
What degree of polynomial will be produced by multiplying a third degree polynomial and a fourth degree polynomial?
seventh degree polynomial x3 times x4 = x7
What can the degree of a polynomial tell you about the graph?
The degree is equal to the maximum number of times the graph can cross a horizontal line.
Is there a relationship between the degree of a polynomial and the number of times its graphed curve changes direction?
I think that there is not .
What is 2y to the 4th power?
The expression (2y^4) represents a term where the coefficient is 2 and the variable (y) is raised to the fourth power. This means that (y) is multiplied by itself four times, resulting in (2 \times y \times y \times y \times y). In algebraic terms, it signifies a polynomial term with a degree of 4.
What does ten three fourth times three?
22.2
One fourth times three?
Three fourths
What degree polynomial equation is 4x3 plus 7x2 - 4x equals 0?
The "degree" is the highest power - in this case, the 3 in 4x3 (4 times to the third power).
How mush is Three fourth cup flour twenty two times?
Three fourth cup flour twenty two times is 16 cups.
What is one fourth times three sevenths?
One fourth times three sevenths is calculated by multiplying the numerators and denominators: ( \frac{1}{4} \times \frac{3}{7} = \frac{1 \times 3}{4 \times 7} = \frac{3}{28} ). Therefore, one fourth times three sevenths equals three twenty-eighths.
What is three fourth times one eight?
Three thirty-seconds
What Is one fourth times parentheses five times three?
3.75
What is 18 times three-fourth?
Answer:612 Answer:612
