For a polynomial p(x), the value of p(3) is -2. Which of the following must be true about p(x)?

Q: What is the correct answer for SAT Maths?

The correct answer is D. This question relates to the Remainder Theorem. The Remainder Theorem states that if a polynomial p(x) is divided by a linear factor (x - c), then the remainder is p(c). In this case, we are given p(3) = -2. According to the Remainder Theorem, when p(x) is divided by (x - 3), the remainder is p(3), which is -2. Options A, B, and C relate to factors. If (x-c) is a factor, then p(c) must be 0. Since

Q: For a polynomial p(x), the value of p(3) is -2. Which of the following must be true about p(x)?

The correct answer is D. This question relates to the Remainder Theorem. The Remainder Theorem states that if a polynomial p(x) is divided by a linear factor (x - c), then the remainder is p(c). In this case, we are given p(3) = -2. According to the Remainder Theorem, when p(x) is divided by (x - 3), the remainder is p(3), which is -2. Options A, B, and C relate to factors. If (x-c) is a factor, then p(c) must be 0. Since

Q: What are the options for this SAT Maths question?

A. x - 5 is a factor of p(x). · B. x - 2 is a factor of p(x). · C. x + 2 is a factor of p(x). · D. The remainder when p(x) is divided by x - 3 is -2.

Question

For a polynomial p(x), the value of p(3) is -2. Which of the following must be true about p(x)?

FirstInTest · Accepted Answer

This question relates to the Remainder Theorem. The Remainder Theorem states that if a polynomial p(x) is divided by a linear factor (x - c), then the remainder is p(c). In this case, we are given p(3) = -2. According to the Remainder Theorem, when p(x) is divided by (x - 3), the remainder is p(3), which is -2. Options A, B, and C relate to factors. If (x-c) is a factor, then p(c) must be 0. Since p(3) is -2 (not 0), (x-3) is not a factor.

Answer

x - 5 is a factor of p(x).

Answer

x - 2 is a factor of p(x).

Answer

x + 2 is a factor of p(x).

Answer

The remainder when p(x) is divided by x - 3 is -2.

Related Questions

More from SAT Maths

Practice Other Global Gateway Exams

Practice More SAT Maths Questions