If α and β Are the Zeros of the Quadratic Polynomial p(x) = 4x² − 5x − 1, Find the Value of α²β + αβ²

If α and β are the zeros of the quadratic polynomial p(x) = 4x² − 5x − 1, find the value of (α²β + αβ²) Video Explanation Watch the video explanation below: Solution Given polynomial: p(x) = 4x² − 5x − 1 Step 1: Find α + β and αβ Comparing p(x) = 4x² − […]

If α and β Are the Zeros of the Quadratic Polynomial p(x) = 4x² − 5x − 1, Find the Value of α²β + αβ² Read More »

If the Sum of the Zeroes of the Quadratic Polynomial f(t) = kt² + 2t + 3k Is Equal to Their Product, Find the Value of k

If the sum of the zeroes of the quadratic polynomial f(t) = kt² + 2t + 3k is equal to their product, find the value of k Video Explanation Watch the video explanation below: Solution Given polynomial: f(t) = kt² + 2t + 3k Step 1: Use the Relationship Between Zeros and Coefficients Let the

If the Sum of the Zeroes of the Quadratic Polynomial f(t) = kt² + 2t + 3k Is Equal to Their Product, Find the Value of k Read More »

If One Zero of the Quadratic Polynomial f(x) = 4x² − 8kx − 9 Is the Negative of the Other, Find the Value of k

If one of the zero of the quadratic polynomial f(x) = 4x² − 8kx − 9 is the negative of the other, find the value of k Video Explanation Watch the video explanation below: Solution Given polynomial: f(x) = 4x² − 8kx − 9 Step 1: Use the Given Condition Let the zeros of the

If One Zero of the Quadratic Polynomial f(x) = 4x² − 8kx − 9 Is the Negative of the Other, Find the Value of k Read More »

If α and β Are the Zeroes of the Quadratic Polynomial f(x) = x² + x − 2, Find the Value of (1/α − 1/β)

If α and β are the zeroes of the quadratic polynomial f(x) = x² + x − 2, find the value of (1/α − 1/β) Video Explanation Watch the video explanation below: Solution Given polynomial: f(x) = x² + x − 2 Step 1: Find α + β and αβ Comparing f(x) = x² +

If α and β Are the Zeroes of the Quadratic Polynomial f(x) = x² + x − 2, Find the Value of (1/α − 1/β) Read More »

If α and β Are the Zeros of the Quadratic Polynomial f(x) = x² − x − 4, Find the Value of (1/α + 1/β − αβ)

If α and β are the zeros of the quadratic polynomial f(x) = x² − x − 4, find the value of (1/α + 1/β − αβ) Video Explanation Watch the video explanation below: Solution Given polynomial: f(x) = x² − x − 4 Step 1: Find α + β and αβ Comparing f(x) =

If α and β Are the Zeros of the Quadratic Polynomial f(x) = x² − x − 4, Find the Value of (1/α + 1/β − αβ) Read More »

If α and β Are the Zeros of the Quadratic Polynomial p(y) = 5y² − 7y + 1, Find the Value of (1/α + 1/β)

If α and β are the zeros of the quadratic polynomial p(y) = 5y² − 7y + 1, find the value of (1/α + 1/β) Video Explanation Watch the video explanation below: Solution Given polynomial: p(y) = 5y² − 7y + 1 Step 1: Find α + β and αβ Comparing p(y) = 5y² −

If α and β Are the Zeros of the Quadratic Polynomial p(y) = 5y² − 7y + 1, Find the Value of (1/α + 1/β) Read More »

If α and β Are the Zeros of f(x) = x² − 5x + 4, Find the Value of 1/α + 1/β − 2αβ

If α and β are the zeros of f(x) = x² − 5x + 4, find the value of (1/α + 1/β − 2αβ) Video Explanation Watch the video explanation below: Solution Given polynomial: f(x) = x² − 5x + 4 Step 1: Find α + β and αβ Comparing f(x) = x² − 5x

If α and β Are the Zeros of f(x) = x² − 5x + 4, Find the Value of 1/α + 1/β − 2αβ Read More »

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are −3/(2√5) and −1/2 and Find Its Zeros by Factorisation

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are −3/(2√5) and −1/2 and Find Its Zeros by Factorisation Video Explanation Watch the video explanation below: Solution Given: Sum of zeros = −3/(2√5) Product of zeros = −1/2 Step 1: Form the Quadratic Polynomial If sum of zeros = α + β and product

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are −3/(2√5) and −1/2 and Find Its Zeros by Factorisation Read More »

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are −2√3 and −9 and Find Its Zeros by Factorisation

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are −2√3 and −9 and Find Its Zeros by Factorisation Video Explanation Watch the video explanation below: Solution Given: Sum of zeros = −2√3 Product of zeros = −9 Step 1: Form the Quadratic Polynomial If sum of zeros = α + β and product

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are −2√3 and −9 and Find Its Zeros by Factorisation Read More »

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are 21/8 and 5/16 and Find Its Zeros by Factorisation

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are 21/8 and 5/16 and Find Its Zeros by Factorisation Video Explanation Watch the video explanation below: Solution Given: Sum of zeros = 21/8 Product of zeros = 5/16 Step 1: Form the Quadratic Polynomial If sum of zeros = α + β and product

Find a Quadratic Polynomial Whose Sum and Product of Zeros Are 21/8 and 5/16 and Find Its Zeros by Factorisation Read More »