Consider the polynomials given below.

P = x^4 + 3x^3 + 2x^2 - x + 2
Q = (x^3 + 2x^2 + 3) (x^2 - 2)

Determine the operation that results in the simplified expression below.

x^5 + x^4 - 5x^3 - 3x^2 + x - 8

A. PQ
B. Q - P
C. P + Q
D. P - Q

Respuesta :

Answer:

The answer is B.)Q-P

Explanation:

The constant for Q-P is -8 which is correct.

B. Q = P is the answer

P(x) = x²++3x²+2x²-=x+2

Q(x) = x² -2x² +2x + -4x² +3x² - 6 = x² + 2x²+ -2x²= x²-6

So we want X³ +x 2 -5x³-3x²+X-8 So we use Q(x) minus P(X)

So we choose B

(subtraction of polynomials)

What is a polynomial?

In mathematics, a polynomial is an expression consisting of uncertainties and coefficients, which includes only the addition, subtraction, multiplication of variables, and the power of non-negative integers. An example of a single indefinite x polynomial is x² − 4x + 7

A polynomial is the sum of terms of the form k⋅xⁿ. Where k is any number and n is a positive integer. For example, 3x + 2x-5 is a polynomial. Introduction of polynomials. This video covers common terms such as terms, degrees, standards, monomials, binomials, and trinomials.

Monomial, binomial, and trinomial. It can be classified into four types based on the degree of the polynomial. They are zero polynomials, linear polynomials, quadratic polynomials, and cubic polynomials.

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