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Using factor theorem, factorize the foll...

Using factor theorem, factorize the following polynomial : `y^3−7y+6`

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Now putting y=1, `(1)^3-7(1)+6=0`
Therefore (y-1) is a factor of polynomial. f(y).
`y^2(y-1)+y(y-1)-6(y-1)`
`(y-1)(y^2+y-6)`
`(y-1)(y^2+3y-2y-6)`
`(y-1)(y+2)(y+3)`
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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Using factor theorem, factorize each of the following polynomials : ...

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  2. Factorise x^3-23 x^2+142 x-120

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  3. Using factor theorem, factorize the following polynomial : y^3−7y+6

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  4. Using factor theorem, factorize each of the following polynomials : ...

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  5. using factor theorm factorize the following y^3−2y^2−29y−42

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  6. Using factor theorem, factorize each of the following polynomials : ...

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  7. Favtorisex^3+13 x^2+32 x+20

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  8. Factorise: (i) x^3-2x^2-x+2 (ii)x^3-3x^2-9x-5 (iii)x^3+13 x^2+32 x+...

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  9. Factorize :2y^3+y^2-2y-1

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  10. Factorize :x^3-2x^2-x+2

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  11. Factorize : x^3+13 x^2+31 x-45 given that x+9 is a factor

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

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  13. Zero of a Polynomial

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

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

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

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  18. 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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  19. 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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  20. If x^3+6x^2+4x+k , is exactly divisible by (x+2), then the value of k ...

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