Polynomials — Important Questions
Maharashtra Board · Class 9 · Mathematics
45 important questions from Polynomials for Maharashtra Board Class 9 Mathematics, with answers. Includes multiple choice, multiple correct and text.
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Important Questions from Polynomials
Which of the following are polynomials? Select all correct answers.
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2x² + 3x - 5, 7, x⁴ - 2x² + 1
Polynomials have variables with whole number powers only. √x = x^(1/2) has fractional power, 1/x = x^(-1) has negative power, so these are not polynomials. Constant numbers like 7 are polynomials.
Multiply: 3x(2x² - x + 4)
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6x³ - 3x² + 12x
Distribute 3x to each term: 3x × 2x² = 6x³; 3x × (-x) = -3x²; 3x × 4 = 12x. Result: 6x³ - 3x² + 12x.
What type of polynomial is 5x² + 2x - 3 based on number of terms?
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Trinomial
Count the number of terms: 5x², 2x, and -3 are three separate terms. A polynomial with three terms is called a trinomial.
If p(x) = x³ - 2x² + x - 2, find p(2) using direct substitution.
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