The function F(x) = 2x² + 5x – 3, F(x) = -x³ + 5x² + 7x – 1, and F(x) = 3/5x⁴ – 18x³ + x² – 10x + 3.5 are polynomial function. Then the correct options are B, C, and E.
A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
[tex]\rm f(x) = a_0x^n + a_1 x^{n - 1}+ ....+ a_{n-2}x^2 + a_{n-1}x + a_nx^0[/tex]
If the exponent of the variable is negative and fraction, then the function is not a polynomial function.
A. F(x) = 3x⁻³ – 19, the exponent of the function is negative 3. Then the function is not a polynomial function.
B. F(x) = 2x² + 5x – 3, the exponent of the function is whole number. Then the function is a polynomial function.
C. F(x) = -x³ + 5x² + 7x – 1, the exponent of the function is whole number. Then the function is a polynomial function.
D. F(x) = -x³ + √(-x), the exponent of the function is 1/2. Then the function is not a polynomial function.
E. F(x) = 3/5x⁴ – 18x³ + x² – 10x + 3.5, the exponent of the function is whole number. Then the function is a polynomial function.
Then the correct options are B, C, and E.
More about the polynomial link is given below.
https://brainly.com/question/17822016
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