He imagined the crisp, boxed answers: 1. 4x² - 2x + 2. 2. -2m² + 6m + 1. The certainty of it. No more eraser shavings on his jeans. No more gnawing doubt.
But then he remembered the day Ms. Kellar had handed back his last quiz. She hadn't just written a grade. She’d written: “Leo – you understand the idea . You just keep dropping the negative sign. Try stacking them vertically, like a tower.” He imagined the crisp, boxed answers: 1
Leo passed his. He hadn’t checked the key. He had no idea if his answer was right. -2m² + 6m + 1
At the top, in blue ink, she had written: “You found the tower. +1 extra credit for honesty. I saw you look at the key and choose not to flip it.” No more gnawing doubt
Slowly, deliberately, Leo turned the page of his own notebook. He crossed out his first attempt on problem #7. He rewrote the subtraction vertically, aligning the like terms:
The answer key would give him the what . But it wouldn't fix the why .
The answer key for “7-1 Additional Practice: Adding and Subtracting Polynomials” sat face-down on Ms. Kellar’s desk, a silent judge.