IPMAT Indore Polynomials and Higher Degree Equations previous year questions

4 Polynomials and Higher Degree Equations questions from IPMAT Indore 2025–2026 (Quantitative Ability), each with its answer and a step-by-step solution.

• Q25The number of values a can take such that x⁴+ax³+ ( 3a-4 )x²+2 ( a-1 )x-4 can be expressed as a product of two…IPMAT Indore 2026 · Quantitative Ability · Polynomials and Higher Degree Equations
• Q4If the polynomial ax²+bx+5 leaves a remainder 3 when divided by x-1 , and a remainder 2 when divided by x+1 , then…IPMAT Indore 2025 · Quantitative Ability · Polynomials and Higher Degree Equations
• Q18If a_1,a_2,ldots ,a_8 are the roots of the equation x⁸+x⁷+ldots +x+1=0 , then the value of a_1²⁰²⁵+a_2²⁰²⁵+ldots…IPMAT Indore 2025 · Quantitative Ability · Polynomials and Higher Degree Equations
• Q25Let P ( x ) be a quadratic polynomial such that beginvmatrixP (0 ) & P (1 )\\ P (0 ) & P (2 )endvmatrix=0 . Let P ( 0…IPMAT Indore 2025 · Quantitative Ability · Polynomials and Higher Degree Equations