Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ p(y) = y^2 + \frac{3\sqrt{5}}{2}y – 5 \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Remove the Fraction Multiply the polynomial by 2: \[ 2y^2 + 3\sqrt{5}y – 10 \] Step 2: Factorise […]
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ f(v) = v^2 + 4\sqrt{3}v – 15 \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Factorise the Polynomial Given: \[ f(v) = v^2 + 4\sqrt{3}v – 15 \] Product of the coefficient of
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ h(s) = 2s^2 – (1 + 2\sqrt{2})s + \sqrt{2} \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Factorise the Polynomial Given: \[ h(s) = 2s^2 – (1 + 2\sqrt{2})s + \sqrt{2} \] Product
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ g(x) = a(x^2 + 1) – x(a^2 + 1) \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Write the Polynomial in Standard Form \[ g(x) = ax^2 + a – (a^2 + 1)x
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ f(x) = x^2 – (\sqrt{3} + 1)x + \sqrt{3} \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Factorise the Polynomial Given: \[ f(x) = x^2 – (\sqrt{3} + 1)x + \sqrt{3} \] Product
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ q(x) = \sqrt{3}x^2 + 10x + 7\sqrt{3} \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Factorise the Polynomial Given: \[ q(x) = \sqrt{3}x^2 + 10x + 7\sqrt{3} \] Product of the coefficient of
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ p(x) = x^2 + 2\sqrt{2}\,x – 6 \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Factorise the Polynomial Given: \[ p(x) = x^2 + 2\sqrt{2}\,x – 6 \] Product of coefficient of \(x^2\)
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ f(x) = 6x^2 – 3 – 7x \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Write the Polynomial in Standard Form \[ f(x) = 6x^2 – 7x – 3 \] Step 2: Factorise
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ h(t) = t^2 – 15 \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Find the Zeros of the Polynomial Given: \[ h(t) = t^2 – 15 \] Factorising: \[ t^2 – 15 =
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ g(s) = 4s^2 – 4s + 1 \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Find the Zeros of the Polynomial Given: \[ g(s) = 4s^2 – 4s + 1 \] Factorising the