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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 .
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.
What is three fifths times one fourth?
3/12
Which polynomial will definitely have nonreal zeros?
A polynomial will definitely have nonreal zeros if it has an odd degree and a negative leading coefficient. For example, the polynomial ( f(x) = -x^3 + 2 ) has a degree of 3, which is odd, and the leading coefficient is negative. By the Fundamental Theorem of Algebra, it must have at least one nonreal zero, as it cannot cross the x-axis an odd number of times while remaining entirely above or below it.
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 .
One fourth times three?
Three fourths
What does ten three fourth times three?
22.2
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
What is three fourths times three and how?
Three fourths times two is one and a half so if you add three fourths to that you will get two and one fourth.
