For the polynomial p(x) = 2x³ − 9x² + 12x − 5, what is the value of p(2)?
Answer and explanation
Correct answer: −1
Substitute x = 2 into the polynomial: p(2) = 2(2³) − 9(2²) + 12(2) − 5 = 16 − 36 + 24 − 5 = −1. Hence, option A is correct. Option B may result from an error in the final addition and subtraction. Exam tip: after substitution, evaluate powers first, then multiplication, and finally addition or subtraction.
Frequently asked questions
What is the correct answer to this question?
−1
Why is this the correct answer?
Substitute x = 2 into the polynomial: p(2) = 2(2³) − 9(2²) + 12(2) − 5 = 16 − 36 + 24 − 5 = −1. Hence, option A is correct. Option B may result from an error in the final addition and subtraction. Exam tip: after substitution, evaluate powers first, then multiplication, and finally addition or subtraction.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
