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RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
- Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x...
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- Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x...
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- Show that (x-3) is a factor of the polynomial x^3-3x^2+4x-12
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- Show that (x-1) is a factor of x^(10)-1 and also of x^(11)-1.
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- Show that x+1 and 2x-3 are factors of 2x^3-9x^2+x+12
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- Without actual division prove that 2x^4- 6x^3 +3x^2+3x-2 is exactly di...
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- Find the value of a , if x-a is a factor of x^3-a^2x+x+2
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- Find the value of k , if x+3 is a factor of 3x^2+k x+6.
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- Determine the value of a for which the polynomial 2x^4-a x^3+4x^2+2x+1...
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- Find the value of a and b so that the polynomial x^3-a x^2-13 x+b has ...
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- Find the values of a and b so that the polynomial x^3+10 x^2+a x+b is ...
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- For what values of a is 2x^3+a x^2+11 x+a+3 exactly divisible by (2x-1...
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- If a x^3+b x^2+x-6 has x+2 as a factor and leaves a remainder 4 when d...
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- If both x-2 and x-1/2 are factors of p x^2+5x+r , show that p=rdot
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- If x^2-1 is a factor of a x^4+b x^3+c x^2+dx+e , show that a+c+e=...
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- Without actual division, prove that 2x^4-5x^3+2x^2-x+2 is exactly divi...
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- Without actual division, prove that x^4+2x^3-2x^2+2x-3 is exactly divi...
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- In each of the following polynomials, find the value of a if x+a is...
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- In each of the following polynomials, find the value of a if x+a is...
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- Use factor theorem to verify that x+a is a factor of x^n+a^n for any o...
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