Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) : f(x) = x^3 – 6x^2 + 11x – 6, g(x) = x^2 + x + 1 Watch Solution
Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) : f(x) = 10x^4 + 17x^3 – 62x^2 + 30x – 3, g(x) = 2x^2 + 7x + 1 Watch Solution
Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) : f(x) = 4x^3 + 8x + 8x^2 + 7, g(x) = 2x^2 – x + 1 Watch Solution
Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) : f(x) = 15x^3 – 20x^2 + 13x – 12, g(x) = 2 – 2x + x^2 Watch Solution
Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(t)=t^2 – 3, f(t)=2t^4+3t^3-2t^2-9t-12 Watch Solution
Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=x^3-3x+1, f(x)=x^5-4x^3+x^2+3x+1 Watch Solution
Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=2x^2-x+3,f(x)=6x^5-x^4+4x^3-5x^2-x-15 Watch Solution
Obtain all zeros of the polynomial f(x) = 2x^4 + x^3 – 14x^2 – 19x – 6, if two of its zeros are -2 and -1. Watch Solution
Obtain all zeros of f(x) = x^3 + 13x^2 + 32x + 20, if one of its zeros is -2. Watch Solution
Obtain all zeros of the polynomial f(x) = x^4 – 3x^3 – x^2 + 9x – 6, if two of its zeros are -√3 and √3 Watch Solution
Find all zeros of the polynomial f(x) = 2x^4 – 2x^3 – 7x^2 + 3x + 6, if its two zeros are -√3/2 and √3/2 Watch Solution
Find all the zeros of the polynomial x^4 + x^3 – 34x^2 – 4x + 120, if two of its zeros are 2 and -2. Watch Solution
Find all zeros of the polynomial 2x^4 + 7x^3 – 19x^2 – 14x + 30, if two of its zeros are √2 and -√2 . Watch Solution
Find all the zeros of the polynomial 2x^3 + x^2 – 6x – 3, if two of its zeros are -√3 and √3 . Watch Solution
Find all the zeros of the polynomial x^3 + 3x^2 – 2x – 6, if two of its zeros are -√2 and √2 . Watch Solution
Find all zeros of the polynomial 2x^4 – 9x^3 + 5x^2 +3x – 1, if two of its zeros are 2+√3 and 2-√3 . Watch Solution
For what value of k, is the polynomial f(x) = 3x^4 – 9x^3 + x^2 +15x + k completely divisible by 3x^2 – 5 ? Watch Solution
What must be added to the polynomial f(x) = x^4 + 2x^3 – 2x^2 + x – 1 so that the resulting polynomial is exactly divisible by x^2 + 2x – 3? Watch Solution
What must be subtracted from the polynomial f(x) = x^4 + 2x^3 – 13x^2 – 12x + 21 so that the resulting polynomial is exactly divisible by x^2 – 4x + 3 ? Watch Solution
Given that √2 is a zero of the cubic polynomial 6x^3 +√2x^2 – 10x – 4√2, find its other two zeroes . Watch Solution
Given that x – √5 is a factor of the cubic polynomial x^3 – 3√5x^2 + 13x – 3√5 , find all the zeroes of the polynomial . Watch Solution
