Find the zeros of quadratic polynomial f(x) = x^2 – 2x – 8 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial g(s) = 4s^2 – 4s + 1 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial h(t)=t^2 – 15 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial f(x) = 6x^2 – 3 – 7x and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial p(x) = x^2 + 2√2x – 6 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial q(x)=√3x^2 + 10x + 7√3 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial f(x) = x^2 – (√3 + 1)x + √3 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial g(x)=a(x^2+1) – x(a^2+1) and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial h(s) = 2s^2 – (1 + 2√2)s + √2 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial f(v) = v^2 + 4√3v – 15 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial p(y) = y^2 + (3√5/2)y – 5 and verify the relationship between the zeros and their coefficients. Watch Solution
Find the zeros of quadratic polynomial q(y) = 7y^2 – (11/3)y – 2/3 and verify the relationship between the zeros and their coefficients. Watch Solution
Find a quadratic polynomial whose sum and product respectively of the zeros are -8/3 , 4/3. Also, find the zeros of these polynomials by factorization. Watch Solution
Find a quadratic polynomial whose sum and product respectively of the zeros are 21/8 , 5/16. Also, find the zeros of these polynomials by factorization. Watch Solution
Find a quadratic polynomial whose sum and product respectively of the zeros are -2√3, -9. Also, find the zeros of these polynomials by factorization. Watch Solution
Find a quadratic polynomial whose sum and product respectively of the zeros are -3/2√5, -1/2, Also, find the zeros of these polynomials by factorization. Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = x^2 – 5x + 4, find the value of 1/α + 1/β – 2αβ. Watch Solution
If α and β are the zeros of the quadratic polynomial p(y) = 5y^2 – 7y + 1, find the value of 1/α+1/β. Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = x^2 – x – 4, find the value of 1/α+1/β – αβ. Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = x^2 + x – 2, find the value of 1/α – 1/β. Watch Solution
If one of the zero of the quadratic polynomial f(x) = 4x^2 – 8kx – 9 is negative of the other, then find the value of k. Watch Solution
If the sum of the zeroes of the quadratic polynomial f(t)= kt^2 + 2t + 3k is equal to their product, then find the value of k. Watch Solution
If α and β are the zeros of the quadratic polynomial p(x) = 4x^2 – 5x – 1, find the value of α^2β+αβ^2 Watch Solution
If α and β are the zeros of the quadratic polynomial f(t) = t^2 – 4t + 3, find the value of α^4β^3+α^3β^4 Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = 6x^2 + x – 2, find the value of α/β+β/α . Watch Solution
If α and β are the zeros of the quadratic polynomial p(s) = 3s^2 – 6s + 4, find the value of α/β+β/α+2(1/α+1/β)+3αβ . Watch Solution
If the squared difference of the zeros of the quadratic polynomial f(x) = x^2 + px + 45 is equal to 144, find the value of p. Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = x^2 − px + q, prove that α^2/β^2+β^2/α^2=p^4/q^2−4p^2/q+2 . Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = x^2 – p(x + 1) – c, show that (α + 1) (β + 1) = 1 – c. Watch Solution
If α and β are the zeros of a quadratic polynomial such that α + β = 24 and α − β = 8, find a quadratic polynomial have α and β as its zeros. Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = x^2 – 1, find the quadratic polynomial whose zeros are 2α/β and 2β/α Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = x^2 – 3x – 2, find a quadratic polynomial whose zeros are 1/(2α+β) and 1/(2β+α) Watch Solution
If α and β are the zeros of the polynomial f(x) = x^2 + px + q, from a polynomial whose zeros are (α + β)^2 and (α – β)^2. Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = x^2 – 2x + 3, find a polynomial whose roots are α + 2, β + 2 Watch Solution
If α and β are the zeros of the quadratic polynomial f(x) = x^2 – 2x + 3, find a polynomial whose roots are (α-1)/(α+1), (β-1)/(β+1) . Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate : α – β Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate : 1/α -1/β Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate : 1/α+1/β-2αβ Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate :α^2β – αβ^2 Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate : α^4 + β^4 Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate : 1/(aα+b) + 1/(aβ+b) Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate : β/(aα+b) + α/(aβ+b) Watch Solution
If α and β are the zeroes of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate : a(α^2/β+β^2/α)+b(α/β+β/α) Watch Solution
