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If x=1/2 is a zero of the polynomial ...

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

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RD SHARMA ENGLISH-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Factorize: 4x^3+20 x^2+33 x+18 given that 2x+3 is a factor

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  2. What is a Zero of a Polynomial ?

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

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

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

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

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

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

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

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

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

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

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

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  17. (x+1) is a factor of x^n+1 only if

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  18. If x+2\ is a factor of x^2+m x+14 , then m=

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  19. If x-3 is a factor of x^2-a x-15 , then a= (a) -2 (b) 5 (c) -5 ...

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  20. If x^2+x+1 is a factor of the polynomial 3x^3+8x^2+8x+3+5k , then th...

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