Form a quadratic polynomial, sum of whose zeroes is 3 and product of whose zeroes is 2 solution
If x + 2 is a factor of x^{3} – 2ax^{2} + 16, then value of a is
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If 3 + 5 – 8 = 0, then the value of (3)^{3} + (5)^{3} – (8)^{3} is
If one of the factors of x^{2} + x – 20 is (x + 5), then other factor is
If α,β be the zeros of the quadratic polynomial 2x^{2} + 5x + 1, then value of α + β + αβ =
If α,β be the zeros of the quadratic polynomial 2 – 3x – x^{2}, then α + β =
Quadratic polynomial having sum of it's zeros 5 and product of it's zeros – 14 is –
If x = 2 and x = 3 are zeros of the quadratic polynomial x^{2} + ax + b, the values of a and b respectively are :
If 3 is a zero of the polynomial f(x) = x^{4} – x^{3} – 8x^{2} + kx + 12, then the value of k is –
The sum and product of zeros of the quadratic polynomial are – 5 and 3 respectively the quadratic polynomial is equal to –
On dividing x^{3} – 3x^{2} + x + 2 by polynomial g(x), the quotient and remainder were x – 2 and 4 – 2x respectively then g(x) :
If the polynomial 3x^{2} – x^{3} – 3x + 5 is divided by another polynomial x – 1 – x^{2}, the remainder comes out to be 3, then quotient polynomial is –
If x + 2 is a factor of x^{3} – 2ax^{2} + 16, then value of a is
If is the zero of the cubic polynomial f(x) = 3x^{3} – 5x^{2} – 11x – 3 the other zeros are :
If p and q are the zeroes of the polynomial x^{2} 5x  k. Such that p  q = 1, find the value of K
Let p(x) = ax^{2} + bx + c be a quadratic polynomial. It can have at most –
The graph of the quadratic polynomial ax^{2} + bx + c, a ≠ 0 is always –
If 2 and as the sum and product of its zeros respectively then the quadratic polynomial f(x) is –
If α and β are the zeros of the polynomial f(x) = 16x^{2} + 4x – 5 then is equal to –
If α and β are the zeros of the polynomial f(x) = 15x^{2} – 5x + 6 then is equal to –
If the sum of the two zeros of x^{3} + px^{2} +qx + r is zero, then pq =
Let a = 0 and p(x) be a polynomial of degree greater than 2. If p(x) leaves remainders a and – a when divided respectively by x + a and x – a, the remainder when p(x) is divided by x^{2} – a^{2 }is
If one root of the polynomial x^{2} + px + q is square of the other root, then –
If α,β are the zeros of x2 + px + 1 and γ,δ be those of x2 + qx + 1, then the value of (α–γ) (β–γ) (α+δ) (β+δ) =
The quadratic polynomial whose zeros are twice the zeros of 2x^{2} – 5x + 2 = 0 is –
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116 videos420 docs77 tests
