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Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases:
(i) `f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1`
(ii) `f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1`
(iii) `f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2`
(iv) `f (x) = 3x ^(3) - 20x + 12, g (x) = 3x -2`
(v) ` f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3`

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VGS PUBLICATION-BRILLIANT-POLYNOMIAL AND FACTORIISATION-EXERCISE
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  3. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

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  4. Use the Factor Theorem to determine whether g (x) is factor of f(x) in...

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  5. Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x ...

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  6. Show that (x + 4), (x - 3) and (x-7) are factors of x^3-6x^2 - 19x + 8...

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  7. If both (x-2) and (x - (1)/(2)) are fractors of p x ^(2)+ 5x +r, then...

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  8. If (x ^(2) -1) is a factor of ax ^(4) + bx ^(3) + cx ^(2) + dx +e, the...

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  9. Factorise : x^3+13x^2+32x+20

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  10. Factorise : y^3+y^2-y-1

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  11. If ax^(2)+ bx +c and bx ^(2) + ax + c have a common factor x +1 then s...

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  12. If x ^(2) -x-6 and x ^(2) + 3x -18 have a common factor (x -a) then fi...

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  13. If (y-3) is a factor of y ^(3) - 2y ^(2) - 9y+ 18 then find the other ...

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  14. Try to draw the geometrical figures for other identities. (x+y)^2=x^2+...

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  15. Try to draw the geometrical figures for other identities. (x+y) (x-y)...

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  16. Try to draw the geometrical figures for other identities. (x+a) (x+b)...

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  17. Try to draw the geometrical figures for other identities. (x+a) (x+b) ...

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  18. Find the product of the following us ing appropriate identities : (x +...

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  19. Find the following product using appropriate identities. (p-3) (p+3)

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  20. Find the following product using appropriate identities. (y-1) (y-1)

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