0
What else can I help you with?
Give the first 3 non-zero terms of the Taylor polynomial approximation to sin x about the point x equals 0?
3
If a polynomial is divided by (x - a) and the remainder equals zero then (x - a) is a factor of the polynomial.?
Yes, that's correct. According to the Factor Theorem, if a polynomial ( P(x) ) is divided by ( (x - a) ) and the remainder is zero, then ( (x - a) ) is indeed a factor of the polynomial. This means that ( P(a) = 0 ), indicating that ( a ) is a root of the polynomial. Thus, the polynomial can be expressed as ( P(x) = (x - a)Q(x) ) for some polynomial ( Q(x) ).
What is a polynomial with a single root at x equals 2 and a double root at x equals 5?
That would be (x - 2) ( x - 5) ( x - 5). If you like, you can multiply these polynomials to get a single polynomial in standard form (i.e., not factored).
Is y equals 7x power 3 a polynomial function?
Yes. It has variables x, y etc and their powers.
According to the Remainder theorem the remainder of the problem in which a polynomial F x is divided by the binomial x - a equals?
F(a)
If N be the second last digit of your student number so N equals 3 Use the Taylor polynomial of quarter 2 to give an approximation to sin n?
4 units
Give the first 3 non-zero terms of the Taylor polynomial approximation to sin x about the point x equals 0?
3
If a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
false - apex
The polynomial x - 2 is a factor of the polynomial Fx equals 5x2 - 6x plus 4?
False
What Degree of a polynomial is -18x2y2z equals 8x3y-5xz3?
5xZ3
If a polynomial is divided by (x - a) and the remainder equals zero then (x - a) is a factor of the polynomial.?
Yes, that's correct. According to the Factor Theorem, if a polynomial ( P(x) ) is divided by ( (x - a) ) and the remainder is zero, then ( (x - a) ) is indeed a factor of the polynomial. This means that ( P(a) = 0 ), indicating that ( a ) is a root of the polynomial. Thus, the polynomial can be expressed as ( P(x) = (x - a)Q(x) ) for some polynomial ( Q(x) ).
What is a polynomial with a single root at x equals 2 and a double root at x equals 5?
That would be (x - 2) ( x - 5) ( x - 5). If you like, you can multiply these polynomials to get a single polynomial in standard form (i.e., not factored).
If one root of a polynomial equals 3 plus 15i what will its other root be?
4-17i
Is it false if a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
No, it’s true. It’s the same as saying if 60 is divided by 2 and the remainder equals zero (no remainder, so it divides perfectly), 2 is a factor of 60.
Is y equals 7x power 3 a polynomial function?
Yes. It has variables x, y etc and their powers.
According to the Remainder theorem the remainder of the problem in which a polynomial F x is divided by the binomial x - a equals?
F(a)
What is the difference between a polynomial and an equation?
Equations will have an equals sign. Such as: x + 3 = 2 Polynomials will not. Such as: 2x + 3
