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Let p(x)=x^4-3x^2+2x+5. Find the remaind...

Let `p(x)=x^4-3x^2+2x+5.` Find the remainder when `p(x)` is divided by `(x-1)dot`

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To find the remainder when the polynomial \( p(x) = x^4 - 3x^2 + 2x + 5 \) is divided by \( (x - 1) \), we can use the Remainder Theorem. According to the Remainder Theorem, the remainder of the division of a polynomial \( p(x) \) by \( (x - a) \) is equal to \( p(a) \). ### Step-by-Step Solution: 1. **Identify the polynomial and the divisor**: We have \( p(x) = x^4 - 3x^2 + 2x + 5 \) and we are dividing by \( (x - 1) \). 2. **Apply the Remainder Theorem**: ...
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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Find the integral roots of the polynomial f(x)=x^3-6x^2+11 x-6

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  2. Find rational roots of the polynomial f(x)=2x^3+x^2-7x-6 Clearly f(...

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  3. Let p(x)=x^4-3x^2+2x+5. Find the remainder when p(x) is divided by (...

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  4. Find the remainder when p(y)=y^3+y^2+2y+3 is divided by y+2.

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  5. Find the reminder when, p(x)=x^4-3x^2+2x+1 ,is divided by (x-1)

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  6. Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

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  7. Find the remainder when the polynomial ff(x)=2x^4-6x^3+2x^2-x+2 is d...

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  8. Find the remainder when p(x)=4x^3-12 x^2+14 x-3 is divided by g(x)=x-1...

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  9. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

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  10. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

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  11. If the polynomials a x^3+4x^2+3x-4 and x^3-4x+a leave the same remaind...

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  12. The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the...

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  13. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5a x-7 ...

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  14. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

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  15. Check whether the polynomial q(t)=4t^3+4t^2-t-1is a multiple of 2t+1

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  16. f(x)=x^3+4x^2-3x+10 ,\ g(x)=x+4

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  17. बहुपद f (x ) को बहुपद g (x ) से विभाजित करने पर शेषफल प्रमेय की सहायता...

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  18. Find the remainder when P(x)-:G(x) (i)P(x)= 2x^4-6x^3+2x^2-x+2 ; G(x...

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  19. f(x)=4x^3-12 x^2+14 x-3,\ g(x)=2x-1

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  20. f(x)=x^3-6x^2+2x-4,\ g(x)=1-2x

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