Question

find a quadratic polynomial whose zeroes are (2√5) and (-3√5)

Answer 1

Step-by-step explanation:

we have given the zeros of quadrilateral polynomial .

consider the zeros are α and β

α = (2√5) and

β = (-3√5)

▶we know the formula to making a quadratic equation if the roots of the quadratic polynomial are α and β ,

x² - (α + β )x + (α.β)

→ x² - ( (2√5) + (-3√5) )x + ( (2√5) (-3√5) )

→ x² - ( 2√5 - 3√5 )x + ( - 6 x 5 )

→ x² - (-1√5 )x + (-30)

→ x² + √5 x - 30

x² + √5 x - 30 is the required quadratic equation whose roots are (2√5) and (-3√5)