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Exercises for Question Type 4: Given a polynomial, finding the sum and products of roots - IB | RevisionDojo

IB
Question Type 4: Given a polynomial, finding the sum and products of roots

Question Type 4: Given a polynomial, finding the sum and products of roots Exercises

Question 1

Given the polynomial $2x^3 + 3x^2 - 8x + 4$ , find the sum of its roots and the product of its roots.

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Question 2

Given the polynomial $x^5 - 2x^4 + x^3 - x^2 + 2x - 4$ , find the sum of its roots and the product of its roots.

[3]

Question 3

Given the polynomial $3x^5 + x^4 - 5x^2 + 7$ , find the sum of its roots and the product of its roots.

[3]

Question 4

Given the equation $x^2 - 5x + 6 = 0$ , find the sum of its roots and the product of its roots.

[2]

Question 5

Given the equation $x^4 + 2x^2 + 4 = 0$ , find the sum of its roots and the product of its roots.

[3]

Question 6

Given the polynomial $4x^2 + 7x - 2$ , find the sum of its roots and the product of its roots.

[3]

Question 7

Given the polynomial $6x^4 + 3x^2 + x + 5$ , find the sum of its roots and the product of its roots.

[3]

Question 8

Given the polynomial $x^3 - 6x^2 + 11x - 6$ , find the sum of its roots and the product of its roots.

[3]

Question 9

Given the polynomial $2x^6 - 7x^5 + x^4 - x + 3$ , find the sum of its roots and the product of its roots.

[3]

Question 10

Given the polynomial $x^6 - x^3 + 1$ , find the sum of its roots and the product of its roots.

[4]

Question 11

Given the polynomial $x^4 - 3x^3 + 5x^2 - x + 2$ , find the sum of its roots and the product of its roots.

[3]

Question 12

Given the polynomial equation $5x^3 - 2x + 7 = 0$ , find the sum of its roots and the product of its roots.

[3]