Yes, the leading coefficient of a polynomial function can be a fraction. A polynomial is defined as a sum of terms, each consisting of a coefficient (which can be any real number, including fractions) multiplied by a variable raised to a non-negative integer power. Thus, the leading coefficient, which is the coefficient of the term with the highest degree, can indeed be a fraction.
what is the leading coefficient -3x+8
The answer depends on the what the leading coefficient is of!
A polynomial function of least degree with rational coefficients and a leading coefficient of 1 that has the zeros -7 and -4 can be constructed using the fact that if ( r ) is a zero, then ( (x - r) ) is a factor. Therefore, the polynomial can be expressed as ( f(x) = (x + 7)(x + 4) ). Expanding this, we get ( f(x) = x^2 + 11x + 28 ). Thus, the polynomial function is ( f(x) = x^2 + 11x + 28 ).
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the left end of the graph is going in a positive direction and the right end is going in a negative direction.
Leading coefficient: Negative. Order: Any even integer.
The answer depends on the what the leading coefficient is of!
what is the leading coefficient -3x+8
The end behavior of a function is how the function acts as it approaches infinity and negative infinity. All even functions such as x^2 approach infinity in the y-axis as x approaches infinity and odd functions such as x^3 approach positive infinity in the y- axis as x approaches positive infinity and negative infinity in the y- axis as x approaches negative infinity. If their is a negative leading coefficient then it is just flipped.
It is the coefficient of the highest power of the variable in an expression.
A function is just a fancy name for a math problem. It could be a straight line or it could be a parabola or even some thing else. The key to knowing what it looks like is the leading coefficient. What is the highest power of x? Is it positive or negative? An x with the power of one will be a straight line at an angle.
It is the number (coefficient) that belongs to the variable of the highest degree in a polynomial.
TRue
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