# SAT Math Multiple Choice Question 921: Answer and Explanation

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**Question: 921**

**5.** The polynomial function *p* is defined by *p*(*x*) = 4*x*^{3} + *bx*^{2} + 41*x* + 12, where *b* is a constant. When graphed on a standard coordinate plane, *p* intersects the *x*-axis at (–0.25, 0), (3, 0), and (*k*, 0). What is the value of *b*?

- A. –27
- B.
- C. 4
- D. 27

**Correct Answer:** A

**Explanation:**

**A**

**Difficulty:** Medium

**Category:** Passport to Advanced Math / Functions

**Strategic Advice:** A function's *solutions* are the point or points at which its graph crosses the *x*-axis. You're given two *x*-intercepts (two solutions), which you can use to find the value of *b*.

**Getting to the Answer:** The solution (3, 0) is the simplest of the intercepts given, so plug in 3 for each *x* and 0 for *p*(*x*), and solve for *b*:

(A) is the correct answer.