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Write a quadratic function with zeros $-8$ and $-7$ . $\newline$ Write your answer using the variable $x$ and in standard form with a leading coefficient of $1$ . $\newline$ $g(x) =$ ______

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Write a quadratic function from its zeros

Full solution

Q. Write a quadratic function with zeros

-8

and

-7

.

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

.

\newline

g(x) =

______

Identify Zeros: Identify the linear factors from the zeros $-8$ and $-7$ . Linear factors are $(x + 8)$ and $(x + 7)$ .
Find Linear Factors: Multiply the linear factors to get the quadratic function. $g(x) = (x + 8)(x + 7)$
Expand Product: Use the distributive property to expand the product. $g(x) = x(x + 7) + 8(x + 7)$
Multiply $x$ : Multiply $x$ with $(x + 7)$ . $\newline$ $x(x + 7) = x^2 + 7x$
Multiply $8$ : Multiply $8$ with $(x + 7)$ . $\newline$ $8(x + 7) = 8x + 56$
Combine Like Terms: Combine like terms from the previous steps. $\newline$ g(x) = $x^2 + 7x + 8x + 56$ $\newline$ g(x) = $x^2 + 15x + 56$

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

Write a quadratic function with zeros

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\newline

Write your answer using the variable

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Question

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x

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