Answer:
The zeros of the quadratic polynomial are
and
The relationship between its zeroes and coefficients in the procedure
Step-by-step explanation:
step 1
Find the zeros
we know that
The formula to solve a quadratic equation of the form is equal to
in this problem we have
so
substitute in the formula
step 2
Find the sum of the zeros and the product of the zeros
<u><em>Sum of the zeros</em></u>
<u><em>Product of the zeros</em></u>
step 3
Verify that
Sum of the zeros= -Coefficient x/Coefficient x²
Coefficient x=-24
Coefficient x²=4√5
substitute
therefore
the relationship is verified
step 4
Verify that
Product of the zeros= Constant term/Coefficient x²
Constant term=-9√5
Coefficient x²=4√5
substitute
therefore
the relationship is verified