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Thus, the required number of polynomials is infinite i. Hence, out of given options, option D is correct. Hence, in any case zeroes of the given quadratic polynomial cannot be both positive. While b i. B has no linear term and the constant term is positive. C can have a linear term but the constant term is negative. D can have a linear term but the constant term is positive. Hence, it has no linear term and the constant term is negative.
Question 11 Which of the following is not the graph of a quadratic polynomial? These curves are called parabolas. So, option D cannot be possible. Also, the curve of a quadratic polynomial crosses the X-axis at most two point but in option D , the curve crosses Cbse 1oth Maths Words the X-axis at the three points, so it does not represent the quadratic polynomial.
So, division algorithm is not satisfied. So the given statement is not correct. Justify your answers. As, a polynomial of degree more than 2 is possible which intersects the x-axis at exactly two points when it has two real roots and other imaginary roots. Then, product of zeroes Given that, all three zeroes are positive.
So, the product of all three zeroes is also positive. Thus, their sum is also positive. Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:.
Question 1 For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation. Also find all the zeroes of the two polynomials.
Which zeroes of p x are not the zeroes of p x? Then, we use a division algorithm. Exercise 2. RD Sharma Class 12 Solutions. Watch Youtube Videos.
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