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Sagot :
Answer:
x^2 - 10x + 21
Step-by-step explanation:
Sum of zeros
= 7 + 3
= 10
Product of zeros
= 7 x 3
= 21
x^2 - ( sum of zeros )x + product of zeros
= x^2 - 10x + 21
The Quadratic polynomial is x^2 - 10x + 21.
if the zeroes of a quadratic polynomial are a and b, then the polynomial can be written as :
[tex] \boxed{{x}^{2} - (a + b)x + ab}[/tex]
So,
[tex] \hookrightarrow \: {x}^{2} - (7 + 3)x + (7 \times 3)[/tex]
[tex]\hookrightarrow \: {x}^{2} - 10x + 21[/tex]
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