Question

select the correct answer from each drop-down menu. when p² - 4p is subtracted from p² + p - 6, the result is . to get p - 9, subtract from this result.

Explanation:

Step1: Subtract the two polynomials

$(p^2 + p - 6) - (p^2 - 4p) = p^2 + p - 6 - p^2 + 4p = 5p - 6$

Step2: Find the subtracted value

Let $x$ be the value. Then $5p - 6 - x = p - 9$. Solve for $x$: $x = 5p - 6 - (p - 9) = 4p + 3$

Answer:

First blank: $5p - 6$
Second blank: $4p + 3$