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

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md1809998
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

Answer:

the polynomial is: [tex]3x^2-21x+30[/tex]

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:[tex]p(x)=c(x-a)(x-b)[/tex]

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: [tex]p(x)=3(x-5)(x-2)[/tex]

[tex]p(x)=3(x^2-5x-2x+10)[/tex]

[tex]p(x)=3(x^2-7x+10)[/tex]

[tex]p(x)=3x^2-21x+30.[/tex].


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