IB Mathematics Analysis and Approaches Question Type 4: Given a Polynomial, Finding the Sum and Products of Roots Exercises

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

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.

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

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

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

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

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

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

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

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

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

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