Question

Find a quadratic polynomials whose zero is 5 and prodict of zeroes is 30

Answer 1

Given = sum of zeroes = 5
product of zeroes = 30
To form a quadratic equation
x²-(sum of zeroes) x+product of zeroes = 0
x²-5x+30=0

Answer 2

given zero is 5
product is 30
so another zero is 6
sum of zeroes is 11
quadratic polynomial=
${x}^{2} - {\alpha + \beta} x + \alpha \beta$
so
${x }^{2} - 11x + 30$