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Zero of a Polynomial...

Zero of a Polynomial

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We already know that a polynomial is an algebraic term with one or many terms.
Zeroes of Polynomial are the real values of the variable for which the value of the polynomial becomes zero.
So, real numbers, ‘m’ and ‘n’ are zeroes of polynomial `p(x), if p(m) = 0 and p(n) = 0.`
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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Factorize : x^3+13 x^2+31 x-45 given that x+9 is a factor

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  2. Factorize: 4x^3+20 x^2+33 x+18 given that 2x+3 is a factor

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  3. Zero of a Polynomial

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  4. If x=1/2 is a zero of the polynomial f(x)=8x^3+a x^2-4x+2,find the v...

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  5. Write the remainder when the polynomial f(x)=x^3+x^2-3x+2 is a divid...

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  6. Find the remainder when x^3+4x^2+4x-3 is divided by x

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  7. If x+1 is a factor of x^3+a , then write the value of a

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  8. If f(x)=x^4-2x^3+3x^2-a x-b when divided by x-1 , the remainder is 6, ...

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  9. If x-2 is a factor of x^2+3a x-2a, then a= 2 (b) -2 (c) 1 (d) -1

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  10. If x^3+6x^2+4x+k , is exactly divisible by (x+2), then the value of k ...

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  11. If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is 0 (b)...

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  12. If x^(140)+2x^(151)+k is divisible by x+1 , then the value of k is=? ...

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  13. If x+2 and x-1 are the factors of x^3+10 x^2+m x+n, then the values of...

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  14. Let f(x) be a polynomial such that f(-1/2)=0, then a factor of f(x) ...

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  15. When x^3-2x^2+a x-b is divided by x^2-2x-3, the remainder is x-6. The ...

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  16. One factor of x^4+x^2-20 is x^2+5. The other factor is x^2-4\ (b) ...

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  17. If (x-1) is a factor of polynomial f(x) but not of g(x) , then it mu...

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  18. (x+1) is a factor of x^n+1 only if  (a)n is an odd integer   (b) n i...

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  19. If x+2\ is a factor of x^2+m x+14 , then m= (a)7 (b) 2 (c) 9 (d) ...

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  20. If x-3 is a factor of x^2-a x-15, then a=

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