Find the zeroes of the quadratic polynomial 4x2 - 8x - 6 and verify the relationship between zeroes and coefficients - Maths - Polynomials

Question

Find the zeroes of the quadratic polynomial 4x2 - 8x - 6
and verify the relationship between zeroes and coefficients of the
polynomial

Neha Sethi · Accepted Answer

Let fx=4x2-8x-6For finding zeros , put fx=0⇒4x2-8x-6=0⇒2x2-4x-3=0x=--4±-42-42-322   using quadratic formula⇒x=4±16+244⇒x=4±404⇒x=4±2104⇒x=2±102Verification:Sum of roots=2+102+2-102=42=2and -coeff
 of xcoeff of x2=--84=2So, Sum of roots=-coeff
 of xcoeff of x2Product of roots=2+102×2-102=4-104=-64=-32and constant termcoeff
 of x2=-64=-32So, Product of roots=constant termcoeff
 of x2

Find the zeroes of the quadratic polynomial 4x2 - 8x - 6 and verify the relationship between zeroes and coefficients of the polynomial.

Find the zeroes of the quadratic polynomial 4x² - 8x - 6 and verify the relationship between zeroes and coefficients of the polynomial.