Condition on Zeros of a Quadratic Polynomial Video Explanation Question If one of the zeroes of the quadratic polynomial \[ f(x) = 4x^2 – 8kx – 9 \] is the negative of the other, find the value of \(k\). Solution Step 1: Use the Given Condition Let the zeroes be \( \alpha \) and \( […]
Value of an Expression Using Zeros of a Quadratic Polynomial Video Explanation Question If \( \alpha \) and \( \beta \) are the zeroes of the quadratic polynomial \[ f(x) = x^2 + x – 2, \] find the value of \[ \frac{1}{\alpha} – \frac{1}{\beta}. \] Solution Step 1: Find the Zeros of the Polynomial
Value of an Expression Using Zeros of a Quadratic Polynomial Video Explanation Question If \( \alpha \) and \( \beta \) are the zeros of the quadratic polynomial \[ f(x) = x^2 – x – 4, \] find the value of \[ \frac{1}{\alpha} + \frac{1}{\beta} – \alpha\beta. \] Solution Step 1: Use Relations Between Zeros
Value of an Expression Using Zeros of a Quadratic Polynomial Video Explanation Question If \( \alpha \) and \( \beta \) are the zeros of the quadratic polynomial \[ p(y) = 5y^2 – 7y + 1, \] find the value of \[ \frac{1}{\alpha} + \frac{1}{\beta}. \] Solution Step 1: Use the Relationship Between Zeros and
Value of an Expression Using Zeros of a Quadratic Polynomial Video Explanation Question If \( \alpha \) and \( \beta \) are the zeros of the quadratic polynomial \[ f(x) = x^2 – 5x + 4, \] find the value of \[ \frac{1}{\alpha} + \frac{1}{\beta} – 2\alpha\beta. \] Solution Step 1: Find the Zeros of
If α and β Are the Zeros of f(x) = x² − 5x + 4, Find the Value of 1/α + 1/β − 2αβ Read More »
Quadratic Polynomial from Given Zeros Video Explanation Question Find a quadratic polynomial whose sum and product of the zeros are: \[ \text{Sum} = -\frac{3}{2\sqrt{5}}, \quad \text{Product} = -\frac{1}{2} \] Also, find the zeros of this polynomial by factorisation. Solution Step 1: Use the Standard Form If the sum of zeros is \(S\) and the product
Quadratic Polynomial from Given Zeros Video Explanation Question Find a quadratic polynomial whose sum and product of the zeros are: \[ \text{Sum} = -2\sqrt{3}, \quad \text{Product} = -9 \] Also, find the zeros of this polynomial by factorisation. Solution Step 1: Use the Standard Form If the sum of zeros is \(S\) and the product
Quadratic Polynomial from Given Zeros Video Explanation Question Find a quadratic polynomial whose sum and product of the zeros are \[ \text{Sum} = \frac{21}{8}, \quad \text{Product} = \frac{5}{16} \] Also, find the zeros of this polynomial by factorisation. Solution Step 1: Write the General Form If the sum of zeros is \(S\) and the product
Quadratic Polynomial from Given Zeros Video Explanation Question Find a quadratic polynomial whose sum and product of the zeros are \[ \text{Sum} = -\frac{8}{3}, \quad \text{Product} = \frac{4}{3} \] Also, find the zeros of this polynomial by factorisation. Solution Step 1: Write the General Form of the Quadratic Polynomial If the sum of zeros is
Zeros of a Quadratic Polynomial Video Explanation Question Find the zeros of the quadratic polynomial \[ q(y) = 7y^2 – \frac{11}{3}y – \frac{2}{3} \] and verify the relationship between the zeros and their coefficients. Solution Step 1: Remove Fractions Multiply the polynomial by 3: \[ 3q(y) = 21y^2 – 11y – 2 \] Step 2: