2021Q17Factorization of Polynomials (Remainder and Factor Theorems)

MCQModerate2 marks

Select the correct option for each of the following questions.

(x + 2) and (x + 3) are two factors of the polynomial x³ + 6x² + 11x + 6. If this polynomial is completely factorised the result is

Topic: Remainder and factor theorem

Previous-year question practice database

Try it

Pick an option and check your answer. The full worked answer is below either way.

Choose an answer

(x - 2)(x + 3)(x + 1)(x + 2)(x - 3)(x - 1)(x + 2)(x + 3)(x - 1)(x + 2)(x + 3)(x + 1)

Answer

Exam answer

(x + 2)(x + 3)(x + 1)

Explanation

The remaining factor is x + 1 because the cubic is x³ + 6x² + 11x + 6.

More from Factorization of Polynomials (Remainder and Factor Theorems)

What must be added to x³ + 7x² + 3x + 2 so that the result is completely divisible by (x + 2)?2026 Find the value of k.2026 Using the value of k factorise completely the polynomial kx³ + 3x² − 11x − 62026 The factor common to the two polynomials x² - 4 and x³ - x² - 4x + 42025 the value of ‘k’.2025 hence, factorise the resulting polynomial completely.2025