Educational

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

Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ f(x) = x^2 – 2x – 8 \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Find the Zeros of the Polynomial Given: \[ f(x) = x^2 – 2x – 8 \] Factorising the

Condition on r in Euclid’s Division Lemma Video Explanation Watch the video below for a clear explanation: Solution Question: Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r where r must satisfy: Euclid’s Division Lemma Condition According to

Find the HCF and LCM of 12, 21 and 15 Video Explanation Watch the video below for a clear explanation: Solution Question: The HCF and LCM of 12, 21 and 15 respectively are: (a) 3, 140    (b) 12, 420    (c) 3, 420    (d) 420, 3 Step 1: Prime Factorisation 12 = 22