If f(x) is a polynomial of degree n where n>0 then the eqation f(x) =0 has atleast one solution in the set of complex numbers
Example- the polynomial x to the fourth power plus 10 has 4 zeros
What is thr fundamental therom of algebra?
200
A method used to divide a polynomial by a divisor of the for x-k
What is synthetic division?
200
f(x)=8-x^2; what is the degree and leading coefficient?
2;-1
200
Solve;(5c^2+7c+1)+(2c^3-6c+8)
What is 2c^3+5c^2+c+9
200
Use long division; (x^2+x-17) / (x-4)
What is x+5+x/x-4
200
If f is a polynomial function with realcoefficients, and a +bi is an imaginary zero of f, then a-bi is also a zero of f.
What is complex conjugates Theorem?
300
A method used to divide polynomials similar to the way you divide numbers
What is polynomial long division?
300
Solve;(x-5)(x+1)(x+3)
What is x^3-x^2-17x-15
300
Solve;(z-4)(-z+2)(z+8)
What is -z^3-2z^2+40z-64
300
Factor; x^3+2x^2-51x+108; x+9
What is (x-4)(x-3)(x+9)
300
If f is a polynomial function with rational coefficients, and a b are rational numbers such that square root of b is irrational. If a + square root of b is a zero of f then a - square root of b is also a zero of f .
What is irrational conjugates Theorem?
400
The coefficient and the term of a polynomial function that has the greatest exponent
What is a leading coefficient
400
Solve;(3x^2-5)+(7x^2-3)
What is 10x^2-8
400
Factor Completely; 3y^5-48y^3
What is 3y^3(y-4)(y+4)
400
Find ALL zeros; (x) =x^4-9x^2-4x+12
What is -2, 1, 3
400
The number of negative real zeros of f is equal to the number of changes in sign of the coefficients of f(-x) or is less than this by an even number.
What is Descartes' rule of Signs for negative real zeros?
500
When the x values in a data set are equally spaced, the differences of consecutive y values