Home └Higher Mathematics for HSC └Polynomials and Polynomial Equations in details

Higher Mathematics for HSC

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Polynomials and Polynomial Equations in details

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Polynomials Solution of quadratic equation by factorization General solution of quadratic equations Relation between roots and coefficients of quadratic equations Discriminant Determination of the nature of roots and quadratic equations Formation of quadratic equations Relation between roots and coefficients and formation of cubic equations
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1. 6x^2 - 5x + 1 = 0 সমীকরণের মূলদ্বয় a, b হলে 1/a, 1/b মূলবিশিষ্ট সমীকরণ কোনটি?
x^2 - 2x + 1 = 0 x^2 - 11x + 30 = 0 x^2 - 4x + 3 = 0 x^2 - 5x + 6 = 0
2. 3x^3 - 1 = 0 এর মূলগুলি a, b, c হলে a^3 + b^3 + c^3 এর মান কত?
1 1/3 0 -1
3. x^2 - 2x + 5 এর ন্যূনতম মান কত?
11/4 5 4 3
4. x^2 + ax + b = 0 সমীকরণের মূলদ্বয় সমান এবং x^2 + ax + 8 = 0 সমীকরনটির একটি মূল 4 হলে b এর মান কত?
12 9 8 4
5. k এর মান কত হলে (k+1)x^2 + 2(k+3)x + 2k + 3 রাশিটি একটি পূর্ণবর্গ হবে?
-2, -3 2, -3 -2, 3 2, 3