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If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21...

If `f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7` is divided by `g(x) = 3x^(2) + 4x +1`, the remainder is ax + b . Find a and b.

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The correct Answer is:
`:.` a = 1, b = 2
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ZEN PUBLICATION-POLYNOMIALS-ZEN ADDITIONAL QUESTIONS ( Short answer [SA] type II questions )
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  6. If f(x) = x^(3) + x^(2) - ax + b is divisible by x^(2) - x, find value...

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  8. If alpha and beta are zeros of the quadratic polynomial x^(2) - (k+6) ...

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  9. If 1 is one of the zeros of the polynomial 7x- x^(3) - 6, find its oth...

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  10. If zeros of x^(3) - 3x^(2) + x+ 1 are a-b, a,a+b, find a and b.

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  11. Find the other two zeroes of the polynomial y^(4)+y^(3)-9y^(2)-3y+18 i...

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  12. If one of the zeros of x^(3) + ax^(2) + bx + c is (-1) ,find the pr...

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  13. If a and b are the zeros of the quadratic polynomial f(x) = kx^(2) + 4...

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  15. Find a quadratic polynomial whose zeros are 1 and -3 . Verify the rela...

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  16. What real number should to subtracted from the polynomial 3x^(3) + 10x...

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  17. If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^...

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