SummerKitty
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FIRST ONE TO ANSWER CORRECTLY WILL BE BRAINLIEST!!! HELP!!! amie and Billy each think of a polynomial. Each of their polynomials is monic, has degree 3, and has the same positive constant term and the same coefficient of x. The product of their polynomials is x^6 +2x^5 +2x^4 +18x^3 + 33x^2+40x+16. What is the constant term of Jamie's polynomial?

Respuesta :

apologiabiology
y=ax³+bx²+cx+d
the constant term is d


if their polynomils have the same constant term  then the product is
(ax³+bx²+cx+d)(rx³+ex²+vx+d)
the only thing we know is the constant terms are the same
we notice that the last term of the product will be the product of the constant terms

so the lasst term will be d²

the last term is 16
d²=16
sqrt both sides
d=4

the constant term of jamie's polynomial is 4

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