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Why is a degree 1 polynomial equation ax plus by equals 0 called a linear equation?
A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.
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).
What kind of polynomial is the one shown F of x equals 15 x squared minus 2.5 plus 3?
F(x) = 15x2 - 2.5 + 3 That's a quadratic or 2nd degree polynomial in x.
If a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
false - apex
What does 1 degree equals to?
It depends on the context - academic qualification, measure of temperature (on which scale), measure of angle, measure of power (of polynomial) and possibly classification of murder/homicide or burns.
The polynomial x - 2 is a factor of the polynomial Fx equals 5x2 - 6x plus 4?
False
Two x cubed minus x minus three?
The given expression is 2x^3 - x - 3. It is a polynomial of degree 3 with the leading term 2x^3.
State the degree of the polynomial equation x to the 5th power plus 7x cubed minus 30x equals 0?
For the equation: x5+7x3-30x=0 The highest exponent in the entire equation is 5 (from x5), so the equation is of degree 5.
How do you find a 4th degree polynomial with zeros x equals 4 x equals -3 and x equals 6i?
There are only three roots given so, in general, there is no unique answer. However, if it is a real polynomial, then its complex roots must come in conjugate pairs. Then 6i is a root implies that -6i is a root. So the polynomial is (x - 4)(x + 3)(x + 6i)(x - 6i) = (x2 - x - 12)(x2 + 36) = x4 + 36x2 - x3 - 36x - 12x2 - 432 = x4 - x3 + 24x2 - 36x - 432
Why is one degree polynomial equation ax plus by plus c equals 0 called lenear equation?
Yes. This is because the rate of change is equal to a (i.e. the slope is a). a never changes, so its linear.
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
