Rational Root Theorem
The constant coefficient of f(x) = 4x^4-x^3-3x^2+9x-10
What is -10?
What is the x value?
The polynomial f(x) =x^3+7x^2-38x-240 has ___ roots.
What is 3 roots?
When f(x)= 6x^2+7x+2 is divided by 2x+1 the dividend is _________ and the divisor is _________.
What is the dividend is 6x^2+7x+2, and the divisor is 2x+1?
The graph of a polynomial function of degree n has at most ____ turning points.
What is n-1?
True or False: The leading coefficient is in the numerator
What is False?
Given p(a) = 2a^3-4a^2-9, p(2) gives us a remainder of...
What is -9?
If a+bi is a solution, then a-bi is a solution. The conjugate of 7 + 4i is...
What is 7-4i?
What is quoteint and remainder?
Using the quadratic formula, the complex roots of f(x)= x^2+x+2 are...
What is (−1±i sqr root 7)/2 ?
If f(x) = ax^n+bx^n-1... has integer coefficients, then every rational zero has the following form:
What is +/- factor of constant term/factor of leading coefficient?
If f(c)=0, then x-c is a ______ of the polynomial.
What is a factor?
The factor (x^2+1) has the root/s...
What is +/- i?
The last line when completing synthetic divison gave us: 2 -6 9 -18, this can also be written in polynomial form as:
What is 2x^2-6x+9 R. -18 ?
What is the factored form of x^3-x^2-12x?
What is x(x-4)(x+3)?
The Rational Root Theorem finds...
What is a list of POSSIBLE rational zeroes?
True or False: Given f(x)= x^3+5x^2-7x+1, f(1) is a factor of the polynomial.
What is true?
When we factor by grouping the polynomial x^3+7x^2-9x-63=0 the factors are:
What is (x+3)(x-3)(x+7)?
When we divide x^3+4x^2-7x+6 by x+2 we get a remainder of ___. (put into the technical form)
What is 28/(x+2)?
Given f(x)=2x^6-3x^2-x+1 using a graphing calculator the approximate zeros are...
What is x= 0.438 and x= 1.115?
Find all the rational roots of the function: f(x) = 2x^4-x^3-7x^2+4x-4
What is +/- 1, 2, 4, 1/2?
If (x-2) is a factor of x^5-32, the function as a product of two factors will be... (Hint: use synthetic division)
What is (x-2) (x^4+2x^3+4x^2+8x+16)?
To find the sum or difference of cubes, you must remember this formula:
What is (a^2-ab+b^2)(a+b)?
True or False: x^2+1 is a factor of 3x^4-4x^3+12x^2+5.
What is false?
In standard form (x-(5-2i))(x-(5+2i)) is...
What is x^2-10x+29?