Answered

Tony believes that x = -9 is a root of the polynomial x^2 + 13x + 36. Erika, however, believes that x = 4 is a root of the same polynomial. Who is correct?

Answer :

absor201

Tony is correct.

Step-by-step explanation:

Given polynomial is;

[tex]x^2+13x+36=0[/tex]

Tony's answer is x = -9

We will put x = -9 in given polynomial.

[tex](-9)^2+13(-9)+36=0\\81-117+36=0\\0 = 0[/tex]

Tony's solution satisfies the equation.

Erika's answer is x = 4

We will put x = 4 in given polynomial.

[tex](4)^2+13(4)+36=0\\16+52+36=0\\104\neq 0[/tex]

Erika's solution does not satisfy the equation, therefore

Tony is correct.

Keywords: polynomial, roots

Learn more about polynomials at:

  • brainly.com/question/11258952
  • brainly.com/question/11343416

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