Math Problem Statement

г) P(x) = 2x² +8x³-5x²-4x+2, Q(x) = x²+4x-2

д) P(x) = 3x² - х³ +8x² +5x+3, Q(x) = x²-x+3

e) P(x) = 3x² +9x³ - 5x²-6x+2, Q(x)=3x² -2

ë) P(x) = x²-2x²-4, Q(x)=x-2

ж) P(x) = x³ −4x² +9, Q(x)=x-3

  1. P(x) = x²-13x-42, Q(x) = x²-x-6

Solution

It seems like you're looking to perform operations between two polynomials P(x)P(x) and Q(x)Q(x). Could you clarify what operation you want to perform with these pairs of polynomials? Common operations include:

  • Addition: P(x)+Q(x)P(x) + Q(x)
  • Subtraction: P(x)Q(x)P(x) - Q(x)
  • Multiplication: P(x)×Q(x)P(x) \times Q(x)
  • Division: P(x)÷Q(x)P(x) \div Q(x)

Let me know which operation you'd like to perform or if you need help with something specific related to these polynomials!

Do you want details or have any questions?

Here are 5 related questions to expand your understanding:

  1. How do you perform polynomial long division with P(x)P(x) and Q(x)Q(x)?
  2. What are the steps to factor polynomials like P(x)P(x) and Q(x)Q(x)?
  3. How do you find the remainder when dividing two polynomials?
  4. What is the difference between multiplying and adding polynomials?
  5. How do you find the roots of a polynomial equation?

Tip: When adding or subtracting polynomials, combine like terms by adding or subtracting their coefficients.

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Math Problem Analysis

Mathematical Concepts

Polynomial Operations
Algebra
Polynomial Division

Formulas

P(x) + Q(x)
P(x) - Q(x)
P(x) * Q(x)
P(x) / Q(x)

Theorems

Polynomial Division Theorem
Distributive Property

Suitable Grade Level

Grades 10-12