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1. Explain how the expression 8-6x+x^2 is in standard form.

2. Is the expression equivalent to (x-4)(x-2)? Explain.

1 Answer

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Answer:

1. It's a quadratic expression bcs the highest power in a quadratic expression is 2. Hence its in standard form. basically anything that follows ax^2 + bx + c
2. x^2-6x+8 (separate the coefficient into 2, where they add to get the coefficient number (-6), and multiply to get the number (8)
x^2-4x-2x+8 (separate it into 2 parts, and factorize each part)
x(x-4)-2(x-4)
(x-2)(x-4)
Hence, x^2-4x-2x+8 is equivalent to (x-2)(x-4)

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