341.Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x) = x4 – 5x + 6, g(x) = 2 – x2.
166 Views
342.Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm. t2 – 3, 2t4 + 3t3 – 2t2–9t – 12
204 Views
343.Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm. x2 + 3x + 1, 3x4 + 5x3 – 7x2 + 2x + 2
169 Views
344.Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm. x3 – 3x + 1, x5 –4x3 + x2 + 3x + 1.
128 Views
Advertisement
Long Answer Type
345.Obtain all other zeroes of 3x4 + 6x3 – 2x2 - 10x - 5, if two of its zerores are .
475 Views
346.On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder, are x – 2 and –2x + 4, respectively. Find g(x).
275 Views
Short Answer Type
347.Give examples of polynomials p(x),g(x), q(x) and r(x), which satisfy the division algorithm and deg p(x) = deg q(x)
90 Views
348.Give examples of polynomials p(x),g(x), q(x) and r(x), which satisfy the division algorithm and deg r(x) = 0
349.Give examples of polynomials p(x),g(x), q(x) and r(x), which satisfy the division algorithm and deg q(x) = deg r(x)
deg q(x) = deg p(x) = x - 5 g(x) = x - 2 q(x) = 1 and r(x) = -3 Clearly, p(x) = q(x) X g(x) + r(x)
102 Views
Advertisement
Long Answer Type
350.Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeroes and coefficients in each case: 2x3 + x2 –5x + 2; 1/2, 1,–2
Short Answer Type
Long Answer Type
.
Switch
