CBSE · Class 10 · Mathematics · PolynomialsExplain the concept of polynomials and their types. Also, find the value of the polynomial 2x^2 + 3x - 4 when x = -1.
Step-by-Step Solution
Introduction to Polynomials\nPolynomials are algebraic expressions that consist of variables and coefficients. They can be classified into different types based on the degree and number of terms.
- Monomials: Polynomials with only one term, e.g., 2x, 3y, etc.
- Binomials: Polynomials with two terms, e.g., x + y, 2x - 3y, etc.
- Trinomials: Polynomials with three terms, e.g., x^2 + 2x + 1, etc.\nTo find the value of the polynomial 2x^2 + 3x - 4 when x = -1, we substitute x = -1 into the polynomial: 2(-1)^2 + 3(-1) - 4 = 2(1) - 3 - 4 = 2 - 3 - 4 = -5
💡 Study Guide: This question tests core syllabus concepts from Polynomials. For formulas, key summaries, and mock exam reference guides, read the full Polynomials Revision Notes.