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check whether p(x) is a multiple of g...

check whether p(x) is a multiple of g(x) or not
(i) `p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2.`
(ii) ` p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1`

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To determine whether \( p(x) \) is a multiple of \( g(x) \), we will follow these steps for both parts of the question. ### Part (i) Given: - \( p(x) = x^3 - 5x^2 + 4x - 3 \) - \( g(x) = x - 2 \) **Step 1:** Set \( g(x) = 0 \) to find the value of \( x \). ...
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NCERT EXEMPLAR ENGLISH-POLYNOMIALS-EXERCISE 2.2 very short Answer type Questions
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  2. BY Remainder theorem , find the remainder when p(x) is divided by ...

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  4. Show that (i) x+3 is factor of 69+11x-x^(2)+x^(3) (ii) 2x-3 ...

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  5. Determine which of the following polynomial has x-2 a factor ...

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  6. Show that p-1 is a factor of p^(10)-1 and also of p^(11)-1.

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  7. For what value of m is x^(3)-2mx^(2)+16 Divisible by x+2 ?

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  8. If x+2a is factor of x^(5)-4a^(2)x^(3)+2x+2a +3 , then find the ...

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  9. Find the value of m, so that 2x-1 be a factor of 8x^(4)+4x^(3)-1...

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  10. If x+1 is a factor of ax^(3)+x^(2)-2x+4a-9, then value of a .

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  11. Factorise (i) x^(2)+9x+18 (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 (...

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  12. Factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii...

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  13. Using suitable identity , evaluate the following (i) 103^(3) (ii...

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  14. Factorise the following : (i) 4x^(2)+20x+25 " " (ii) ...

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  15. Factorise the following (i)9x^(2)-12x+3 (ii) 9x^(2)-12x+4

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  16. Expand the following (i) (4a-b+ac)^(2) (ii) (3a-5b-c)^(2) (iii)...

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  17. Facorise the following (i) 9x^(2)+4y^(2)+16z^(2)+12xy-16yz-24xz (...

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  18. if a +b+c=9 and ab+bc+ca=26,find a^(2)+b^(2)+c^(2).

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  19. Expand the following (i) (3a-2b)^(3) (ii) ((1)/(x)+(y)/(3))^(3) (ii...

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  20. Facorise the following (i) 1-64a^(3)-12+48a^(2) (ii) 8p^(3)+(12)...

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