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write whether the following statements...

write whether the following statements are true or false , justify Your answer.
(i) A binomial can have atmost two terms.
(ii) Every polynomial is a Binomial .
(iii) A binomial may have degree 5.
(iv) zero of a polynomial is always 0.
(V) A polynomial cannot have more then one zero.
(vi ) the degree of the sum of tum polynomals each of degree 5 is wlways . 5

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Let's analyze each statement one by one and determine whether they are true or false, providing justifications for each answer. ### Statement (i): A binomial can have at most two terms. **Answer**: False **Justification**: A binomial is defined as an algebraic expression that consists of exactly two terms. Therefore, it cannot have "at most" two terms; it must have exactly two terms. ### Statement (ii): Every polynomial is a binomial. **Answer**: False ...
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NCERT EXEMPLAR-POLYNOMIALS-Polynomials
  1. If a+b+c=0, then a^(3)+b^(3)+c^(3) is equal to

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  2. which of the following expressions are polynomials ? Justify yo...

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  3. write whether the following statements are true or false , justif...

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  4. Classify the following polynomials as polynomials in one variable...

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  5. Determine the degree of each of the following polynomials. (i) ...

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  6. For the polynomials (x^(3)+2x+1)/(5)-(7)/(2) x^(2)-x^(6) ,then wri...

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  7. write the coefficient of x^(2) in each of the following (i)...

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  8. Classify the follwing as a constant , linear , quadratic and cubi...

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  9. Give an example of a polynomial , which is (i) Monomial of deg...

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  10. find the value of the polynomial 3x^(3)-4x^(2)+7x-5, , when x=3...

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  11. If p(x) =x^(2)-4x+3, then evaluate p(2) -p(-1)+p((1)/(2)).

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  12. Find p(0), p(1) and p(-2) for the following polynomials (i) ...

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  13. Verify whether the following are true or false . (i) -3 is a zero ...

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  14. Find the zeroes of the polynomial ineach of the followning . ...

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  15. Find the zeroes of the polynomial p(x)=(x-2)^(2)-(x+2)^(2).

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  16. BY actual division , find the quotient and the remainder when the...

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  17. BY Remainder theorem , find the remainder when p(x) is divided by ...

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  18. check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(...

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

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

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