Question

Answer the following questions in one sentence, word or number


11. Find the quadratic polynomial, whose one zero is 5 and product of zeroes is 15.
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Answer 1

let the zeros is polynomial be m and n

according to question :

m=5

mn=15

n=5/15

n=3

the required polynomial with zeros m and n is

x2-(m+n)x+(m+n) =0

x2-(5+3)x+(5.3)=0

x2-8x +15 =0

Answer 2

Step-by-step explanation:

alpha×bita=30

alpha=5

l.e bita=30/5

=6

alpha+bita=5+6

=11

therefore,

quadratic equation will become

x²-(alpha+bita)+alpha×bita=0

=x²-11x+30=0