The model that shows the correct factorization of \(x^2 + 2x - 8\) is option (D)
What is quadratic expression?
"It is a polynomial expression with degree 2."
What is factorization of polynomial?
"It is the breaking of an polynomial into a product of lower polynomials which when multiplied together give the original polynomial. "
For given question,
We have been given a quadratic expression \(x^2 + 2x - 8\).
If we factorize \(x^2 + 2x - 8\) then it would be,
\(x^2 + 2x - 8\\\\=x^2 + 4x - 2x - 8\\\\=x(x + 4) - 2 (x + 4)\\\\=(x + 4) (x - 2)\)
So, the model at option (D) shows the correct factorization of given quadratic expression.
Therefore, the model that shows the correct factorization of \(x^2 + 2x - 8\) is option (D)
Learn more about factorization here:
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