# types of equations (polynomial, radical, rational etc)?

what are radical equations, polynomials and rational equations? SIMPLE ANSWER PLS

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• 9 years ago

(1)polynomial (from Greek poly, "many" and medieval Latin binomium, "binomial" is an expression of finite length constructed from variables (also known as indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

(2)A "radical" equation is an equation in which the variable is stuck inside a radical.

The "radical" in "radical equations" can be any root, whether a square root, a cube root, or some other root. The topic of "solving radical equations" usually involves mostly or only square roots, so most of the examples in what follows use square roots as the radical, but you should not be surprised to see a cube root or fourth root in your homework or on a test.

(3)While adding and subtracting rational expressions is a royal pain, solving rational equations is much simpler. (Note that I don't say that it's "simple", just that it's "simpler".) This is because, as soon as you go from a rational expression (with no "equals" sign in it) to a rational equation (with an "equals" sign in the middle), you get a whole different set of tools to work with. In particular, you can multiply through on both sides of the equation to get rid of the denominators.

• 9 years ago

Radical equations have a square root sign. (Or a cube root or fourth root)

Polynomials are equations with more than three terms. (y = ax^4 + bx^3 + cx^2 + dx + 3 would be an example)

Rational equations contain a variable in the denominator of a fraction. (1/x+4 = 3 as an example)

• Anonymous
4 years ago

The Rational Root Theorem says that a polynomial with integer coefficient has a rational root p/q (in lowest words) on condition that p is a divisor of the consistent coefficient and q is a divisor of the top-rated coefficient. on your polynomial, meaning that p could desire to be a divisor of 9 and q could desire to be a divisor of four. the two helpful and adverse divisors count quantity, so as meaning: p could desire to be in (a million, -a million, 2, -2, 4, -4) q could desire to be in (a million, 3, 9) that provides 18 possibilities to attempt: for each of 6 distinctive p values, there are 3 distinctive q values to purpose. of direction, seeing this is a cubic polynomial, at maximum 3 distinctive roots exist. additionally, the Rational Root Theorem would not assure any rational roots in any respect. It basically tells you which ones rational numbers ought to probable be roots. on your polynomial, those are a million, -a million, a million/3, -a million/3, a million/9, -a million/9, 2, -2, 2/3, -2/3, 2/9, -2/9, 4, -4, 4/3, -4/3, 4/9, -4/9