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Write a quadratic function with zeros $2$ and $9$ . $\newline$ Write your answer using the variable $x$ and in standard form with a leading coefficient of $1$ . $\newline$ $f(x) =$ ______

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Write a quadratic function from its zeros

Full solution

Q. Write a quadratic function with zeros

2

and

9

.

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

.

\newline

f(x) =

______

Identify Zeros: Zeros are $2$ and $9$ , so factors are $(x - 2)$ and $(x - 9)$ .
Write Function: $f(x) = 1 \times (x - 2) \times (x - 9)$ .
Distribute Terms: Distribute $(x - 9)$ with $x$ and $-2$ . $f(x) = x(x - 9) - 2(x - 9)$ .
Multiply $x$ : Multiply $x$ and $(x - 9)$ . $\newline$ $x(x - 9) = x^2 - 9x$ .
Multiply $-2$ : Multiply $-2$ and $(x - 9)$ . $\newline$ $-2(x - 9) = -2x + 18$ .
Combine Like Terms: Combine like terms. $f(x) = x^2 - 9x - 2x + 18$ .
Final Function: $f(x) = x^2 - 11x + 18$ .

More problems from Write a quadratic function from its zeros

Question

Solve by completing the square.

\newline

m^2 - 10m - 29 = 0

\newline

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\newline

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Question

g(x)

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Question

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Question

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\newline

Write your answer using the variable

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Posted 3 months ago

Question

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