Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Given the polynomial x2−5x+6x^2 - 5x + 6x2−5x+6, find the sum of its roots and the product of its roots.
Given the polynomial 4x2+7x−24x^2 + 7x - 24x2+7x−2, find the sum of its roots and the product of its roots.
Given the polynomial x3−6x2+11x−6x^3 - 6x^2 + 11x - 6x3−6x2+11x−6, find the sum of its roots and the product of its roots.
Given the polynomial 2x3+3x2−8x+42x^3 + 3x^2 - 8x + 42x3+3x2−8x+4, find the sum of its roots and the product of its roots.
Given the polynomial 5x3−2x+75x^3 - 2x + 75x3−2x+7, find the sum of its roots and the product of its roots.
Given the polynomial x4−3x3+5x2−x+2x^4 - 3x^3 + 5x^2 - x + 2x4−3x3+5x2−x+2, find the sum of its roots and the product of its roots.
Given the polynomial 6x4+3x2+x+56x^4 + 3x^2 + x + 56x4+3x2+x+5, find the sum of its roots and the product of its roots.
Given the polynomial x5−2x4+x3−x2+2x−4x^5 - 2x^4 + x^3 - x^2 + 2x - 4x5−2x4+x3−x2+2x−4, find the sum of its roots and the product of its roots.
Given the polynomial x4+2x2+4x^4 + 2x^2 + 4x4+2x2+4, find the sum of its roots and the product of its roots.
Given the polynomial 3x5+x4−5x2+73x^5 + x^4 - 5x^2 + 73x5+x4−5x2+7, find the sum of its roots and the product of its roots.
Given the polynomial x6−x3+1x^6 - x^3 + 1x6−x3+1, find the sum of its roots and the product of its roots.
Given the polynomial 2x6−7x5+x4−x+32x^6 - 7x^5 + x^4 - x + 32x6−7x5+x4−x+3, find the sum of its roots and the product of its roots.
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Question Type 3: Finding several parameter values given remainder and/or factors
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Question Type 5: Finding possible values of parameters given the sum and product of roots