a simplified polynomial is a algebraic equation/expression with variables and constants that can can be written as a sum of terms. Simplified form is the opposite of factored form
P(x) = ( 2x - 3)( x+4 ) Is a factored form - product of 2 factors.
Simplify P(x) by using the distributive property:
P(x) = 2x2 +8x - 3x -12
P(x) = 2x2 + 5x - 12 simplified : a sum of terms!
You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.
9. And the word is minus, not minis.
monomial
a polynomial of degree...............is called a cubic polynomial
A polynomial of degree 0 is a polynomial without any variables, such as 9.
I suppose you mean factoring the polynomial. You can check by multiplying the factors - the result should be the original polynomial.
The degree of a polynomial is equal to the highest degree of its terms. In the case that there is no exponent, the degree is 1. If there is no variable, the degree is 0.
As a polynomial in standard form, x plus 5x plus 2 is 6x + 2.
Synthetic division is a simplified method for dividing a polynomial by a linear binomial of the form (x - c). It involves using the coefficients of the polynomial and performing operations that resemble long division but are more streamlined. This technique is particularly useful for quickly finding polynomial quotients and remainders without having to write out the entire long division process. Synthetic division is efficient and can be applied when the divisor is a linear polynomial.
The expression (5a^2 - 6ab) is a polynomial in two variables, (a) and (b). It consists of two terms: (5a^2), which is quadratic in (a), and (-6ab), which is a product of (a) and (b) with a coefficient of (-6). This polynomial cannot be simplified further without additional information about (a) and (b).
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.
No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.
Polynomial vs non polynomial time complexity
The expression (3x^3 - 2x^2) represents a polynomial where (3x^3) is the cubic term and (-2x^2) is the quadratic term. It indicates that for each value of (x), you multiply (x) by itself three times for the cubic term and two times for the quadratic term, then combine them by subtracting the quadratic from the cubic. This polynomial can be factored or simplified further depending on the context, but as it stands, it is already in a simplified form.
Yes. Before using the polynomial for any productive purpose, it would have to be cleaned up and simplified. In that process, the +3x4 and -3x4 would go away, and the highest-order term remaining would be the 4x3.
9. And the word is minus, not minis.