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Tyler thinks he knows one of the linear factors of P(x) = x3 – 9x2 + 23x – 15. After
finding that P(1) = 0, he suspects that x - I is a factor of P(x). Here is the diagram
he made to check if he's right, but he set it up incorrectly. What went wrong?

Diagram


Tyler thinks he knows one of the linear factors of Px x3 9x2 23x 15 After finding that P1 0 he suspects that x I is a factor of Px Here is the diagram he made t class=

Respuesta :

MrRoyal

Linear factors are the factors of a polynomial

What went wrong is that: Tyler's linear factors are incorrect

The polynomial function is given as:

[tex]\mathbf{P(x) = x^3 - 9x^2 + 23x - 15}[/tex]

Rewrite as:

[tex]\mathbf{P(x) = x^3 - 8x^2 -x^2+ 15x + 8x - 15}[/tex]

Further rewrite as:

[tex]\mathbf{P(x) = x^3 - 8x^2 + 15x-x^2 + 8x - 15}[/tex]

Factorize the above polynomial

[tex]\mathbf{P(x) = x(x^2 - 8x + 15)-1(x^2 - 8x + 15)}[/tex]

Factor out x - 1 from the polynomial

[tex]\mathbf{P(x) = (x -1)(x^2 - 8x + 15)}[/tex]

This means that:

The linear factors are x - 1 and x^2 - 8x + 15

From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15

Hence, Tyler's linear factors are incorrect

Read more about linear factors at:

https://brainly.com/question/2510777

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