Accenture Hiring Polynomials and Algebraic Identities — practice questions

Explore 2 free Polynomials and Algebraic Identities questions in Accenture Hiring Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Polynomials and Algebraic Identities with Quill →

Polynomials and Algebraic Identities questions and exercises with answers

Showing questions 1–2 of 2.

If a, b and c are the zeros of the cubic polynomial 2x^3 - x^2 - 2x + 1, find the value of ab + bc + ca.Read the answer and worked solution →If a is positive and a² + 1/a² = 7, then a³ + 1/a³ equals:Read the answer and worked solution →

Worked practice questions

If a, b and c are the zeros of the cubic polynomial 2x^3 - x^2 - 2x + 1, find the value of ab + bc + ca.

2
-1
0
+1

Show answer and solution

Correct answer: B. -1

1. For ax^3 + bx^2 + cx + d, the sum of products of zeros taken two at a time = c/a. 2. Here c = -2 and a = 2. 3. So ab + bc + ca = -2 / 2 = -1. _Source: RRB Group D CEN-02/2018 PYQ, Q.84._

Open this question →

If a is positive and a² + 1/a² = 7, then a³ + 1/a³ equals:

21
3√7
18
7√7

Show answer and solution

Correct answer: C. 18

1. (a + 1/a)² = a² + 1/a² + 2 = 7 + 2 = 9, so a + 1/a = 3. 2. a³ + 1/a³ = (a + 1/a)³ − 3(a + 1/a). 3. = 27 − 9 = 18. _Source: RRB Group D CEN-02/2018 PYQ, Q.39._

Open this question →

How to practise

Choose a Polynomials and Algebraic Identities question and try to work out your answer.
Open the question to check the correct answer and read its worked solution.
Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Polynomials and Algebraic Identities practice for Accenture Hiring. Read explanations as you go. No signup form needed to start.

Practise Polynomials and Algebraic Identities →