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MODERN PUBLICATION-POLYNOMIALS-EXERCISE
- For some integer m, every even integer is of the form:
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- For some integer q, every odd integer is of the form
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- n^2-1 is divisible by 8, if n is
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- If the HCF of 65 and 117 is expressible in the form 65m-117, then the ...
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- The largest number which divides 70 and 125, leaving remainders 5 and ...
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- If two positive integers p and q can be expression as p=ab^2 and q=a^3...
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- The product of a non-zero rational and irrational number is
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- The least number that is divisible by all the numbers from 1 to 10 is
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- The decimal expansion of the rational number 14587/1250 will terminate...
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- Find the zeroes of the polynomial x^2-5x
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- Evaluate: (a-b)^3+(b-c)^3+(c-a)^3
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- Using Remainder theorem, find the remainder when 4x^3-12x^2+11x-5 is d...
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- Using factor theorem, prove that x-y is a factor of x(y^2-z^2)+y(z^2-x...
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- Show that p-1 is a factor of p^10-1 and also p^11-1
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- If x+2a is a factor of x^5-4a^2x^3+2x+2a+3 find a.
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- Without actually calculating the cubes, find the value of: (1/2)^3+(1/...
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- If both x-2 and x-1/2 are factors of px^2+5x+r, show that p=r.
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- Find the integral zeroes of the polynomial: p(x)=x^3+6x^2+11x+6
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- If x^2+1/x^2=79, evaluate x^3+1/x^3
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- Using factor theorem factorise p(x)=x^3-23x^2+142x-120
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