Final answer:
The correct way to write the expression x^2 - 12x + 32 in standard form is A. x^2 - 12x + 32 = 0 because standard form for a quadratic equation is ax^2 + bx + c = 0.
Step-by-step explanation:
To write the expression x^2 - 12x + 32 in standard form, you need to express it as an equation by setting it equal to zero. The standard form of a quadratic equation is ax^2 + bx + c = 0. Therefore, the correct way to write the given expression in standard form is simply by appending "= 0" to it, making the answer A. x^2 - 12x + 32 = 0.
Options B, C, and D alter the given expression or its sign, which is not required to express it in standard form. While option B provides a factored form of the original expression, option C erroneously changes the sign of the linear term, and option D provides a factored form based on changing the sign of both the linear and constant terms.