491.Apply the division algorithm to find the quotient and the remainder in division of p(x) by g(x) as given below: p(x) = 24x2 – 65x + 22, g(x) = 8x – 3.
95 Views
492.Apply the division algorithm to find the quotient and the remainder in division of p(x) by g(x) as given below: p(x) = 6x5 – x4 + 4x3 – 5x2 – x – 12, g(x) = 2x2 + 3 – x.
97 Views
493.Apply the division algorithm to find the quotient and the remainder in division of p(x) by g(x) as given below: p(x) = 4 + x4; g(x) = 2x + 2 + x2.
84 Views
494.Apply the division algorithm to find the quotient and the remainder in division of p(x) by g(x) as given below: p(x) = 3x + 1 + 2x2; g(x) = x + 2.
82 Views
Advertisement
495.Apply the division algorithm to find the quotient and the remainder in division of p(x) by g(x) as given below: p(x) = 5 + x2 + 3x3 + 2x; g(x) = 2x + 1 + x2.
84 Views
Long Answer Type
496.Check whether the first polynomial is a factor of the second polynomial by the division algorithm: (i) g(t) = t2 –3, f(t) = 2t4 + 3t3 – 2t2 – 9t – 12 (ii) g(x)= x3 –3x + 1, f(x) = x5 – 4x3 + x2 + 3x + 1
128 Views
497.Obtain all zeroes of the polynomial f(x) = 2x4 + x3 – 14x2 – 19x – 6, if two of its zeroes are -2 and -1.
402 Views
498.Find all zeroes of the polynomial f(x) = 2x4 – 2x3 – 7x2 + 3x + 6, if its two zeroes are
234 Views
Advertisement
Short Answer Type
499.If α and β are the zeroes of the quadratic polynomial p(x) = 2x2 – 5x + 7, Find a polynomial whose zeroes are (2α + 3β) and (3α + 2β).
119 Views
500.If α and β are the zeroes of the quadratic polynomial f(x) = x2 – 4x + 3, find the value of α4β3 + α3β4.
Short Answer Type
Long Answer Type
