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VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
- Write a binomial and trinomial in variable x.
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- Write the general form of a polyno mial in one variable x of degree n.
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- If P(x) = X^2+ 5x + 4, find p(1) and P(-1).
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- Define zero of a polynomial.
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- Find the zero of the polynomial p(x) = 2x+5.
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- Find a zero of the polynomial p(X) = 3x - 1.
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- x ^(2) +1 has no real zeroes. Why ?
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- Show that (x-1) is a factor of x ^(n)-1.
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- Find the value of the monomial : -2x^2, if x=1
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- If-2 is a zero of the polynomial p(x)=2x^2-x+a,find the value of 'a'.
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- State the Remainder Theorem.
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- Factorise 4x^2+29x+7
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- Factorise 4x^2+29x+7
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- Find the value of 103 × 97 using appropriate identity.
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- Factorise 9a^2 + 30ab + 25b^2
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- Factorise 18a^2 - 50
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- If 2 (a ^(12) + b ^(2)) = (a+b)^(2), then show that a =b
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- Factorise 1-8p^3
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- If a + b + c = 12 and ab + bc + ca = 47, find a^2 + b^2 + c^2 .
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- Factorise 64a^3 + 1000
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