7y2 – 11 3 y – 2 3 (E) Long Answer Questions Sample Question 1: Find a quadratic polynomial, the sum and product of whose zeroes are 2 and 3 – 2, respectively. Product of the zeroes `="constant term"/("coefficient of "x^2)` `=3/1` = 3. Sol. 5t2 + 12t + 7 4. t3 – 2t2 – 15t 5. If α and β are the zeros of the quadratic polynomial f(x) = x^2 − 1, find a quadratic polynomial whose zeroes … [1] Also, you want this function to pass through three points: (-2, 10); (0, 2); and (1, 10). 1 answer. (ii) Let f(x) is quadratic polynomial. x 2 - root 2 x + 1/3 . Mathematics Class 9th and 10th 3,707 views 5:31 If one of the zeroes of the quadratic polynomial (k-1)x2 + kx + 1 is -3,then the value of k is asked Feb 9, 2018 in Class X Maths by akansha Expert ( 2.2k points) polynomials If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is (a) 10 (b) -10 (c) 5 Sol. POLYNOMIALS 13 3. The zeros of a quadratic polynomial are 1 and 2 then what is the polynomial? In particular, we want to see how the zeroes of a quadratic polynomial are related to its coefficients. Example 1: Form the quadratic polynomial whose zeros are 4 and 6. So x 2 - ( Alpha + Beta ) x + Alpha X Beta. Also find its zeroes. Math. Given :- Alpha + Beta = root 2 Alpha X Beta = 1/3. A quadratic function is a polynomial function of degree two. A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is (a) x 2 − 9 (b) x 2 + 9 (c) x 2 + 3 (d) x 2 − 3. Example 2: Form the quadratic polynomial whose zeros are –3, 5. And the other will be (4x+1), for the same reason. 4x2 + 52 x – 3 7. (c) Let ax 2 + bx + c be a required polynomial whose zeroes are -3 and 4. Question 1164186: Form a polynomial whose zeros and degree are given. A quadratic polynomial whose zeros are 5 and ‒3, isA. Find a quadratic polynomial whose zeroes are -3 and 4. For no real value of x can this polynomial take zero value, which means that this has no real zeroes. Write a quadratic polynomial whose sum of zeroes is √2 and one of the zero is 1/√2 asked May 16, 2018 in Class X Maths by shivangi192930 ( 16 points) polynomials Verify that `3,\\ 1,-1/3` are the zeroes of the cubic polynomial `p(x) ... Find the quadratic polynomial, sum of whose zeros is 8 and their product is - Duration: 1:55. One will be (3x-2), since: 3x-2 = 0. Hence, required polynomial is 4x 2 + x + 1. Note that this does not mean that the polynomial does not have any zeroes. Answer: x² – x – 12 Let us assume quadratic polynomial be ax²+bx+c=0, where a≠0 and it’s zeroes be α and β. There might also be quadratic polynomials which have no real zeroes. If the zeros are 2/3 and -1/4, it will be comprised of two factors, one with each of those zeros. Among all of the pairs of numbers whose difference is 12, find the pair with the smallest product. 10x^2 + x - 3… The zeros of the quadratic polynomial x^2 + 88x + 125 areA. both positive B. both… Answer: Since and are the zeros of the quadratic polynomials such that. Sol. 3x = 2. x = 2/3. Get an answer for 'Find the quadratic polynomial whose one zero is 2+sqrt(3) ... 1-√3,1 + √3 - 2 find polynomial function of degree with given numbers as zeros 3 Educator answers. Sum of the zeros = 4 + 6 = 10 Product of the zeros = 4 × 6 = 24 Hence the polynomial formed = x 2 – (sum of zeros) x + Product of zeros = x 2 – 10x + 24. Here, zeros … Sum and product of whose zeros are √2 and 1/3 respectively. where k/3 is a constant term, real number. Correct answer to the question: Write a quadratic polynomial, the sum and product of whose zeroes are 3 and -2 - eanswers-in.com (iv) Let f(x) is a quadratic polynomial. 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