SAT Math Practice Question #2339 (Medium) | Test Citadel
TC
Test Citadel
SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2339

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

The polynomial $P(x) = x^3 - 3x^2 - 10x + 24$ has a known zero at $x = 2$. What are the other two zeros?
Select Your Answer:
Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
⚡ 15-Second Desmos Speed Hack

Desmos Hack: Graph the expression or check points using the table feature in Desmos for instant validation.

Masterclass Solution & Distractor Trap Analysis

Divide $P(x)$ by $(x - 2)$: synthetic division yields $x^2 - x - 12 = (x - 4)(x + 3)$. Thus the other zeros are $x = 4$ and $x = -3$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

🔒 Citadel Pro Scholar Vault

Unlock Full Solution & 2,600+ Official Drills

Access detailed Socratic steps, trap breakdowns, authentic timed module simulations, and Desmos speed hacks for just $9.99/mo.

Socratic Assistant

Targeted hints without disclosing final solutions.

I am your Socratic tutor. Click one of the quick guidance buttons above or ask a specific question below about a formula or method.