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ch4aika [34]
3 years ago
11

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots 5 and 2?

Mathematics
2 answers:
guajiro [1.7K]3 years ago
6 0
A root of a polynomial doesn't mean it is a square root of!!!!!!

P(x)=3(x-5)(x-2)=3x²-21x+30  

f (x)= 3 x power point 2 - 21 x + 30
Alex Ar [27]3 years ago
4 0

Answer:

the polynomial is: 3x^2-21x+30

Step-by-step explanation:

we know that the polynomial function p(x) of lowest degree with roots as 'a' and 'b' and leading coefficient as 'c' is given by:p(x)=c(x-a)(x-b)

here we are given that the roots are 5 and 2 and the leading coefficient is 3.

so the polynomial p(x) of lowest degree with the above properties is: p(x)=3(x-5)(x-2)

p(x)=3(x^2-5x-2x+10)

p(x)=3(x^2-7x+10)

p(x)=3x^2-21x+30..


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