Higher Degree Polynomials — CAT Previous-Year Questions
7 previous-year questions on Higher Degree Polynomials from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.
Higher Degree Polynomials · CAT PYQs
The equation x3 + (2r + 1)x2 + (4r - 1)x + 2 = 0 has -2 as one of the roots. If the other roots are real, then the minimum possible non-negative integer value of r is?
Let r and c be real numbers. If r and -r are roots of 5x3 + cx2 - 10x + 9 = 0, then c equals
The smallest integer n such that n3 – 11n2 + 32n – 28 > 0 is
If the roots of the equation x3− ax2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b?
The number of roots common between the two equations x3 + 3x2 + 4x + 5 = 0 and x3 + 2x2 + 7x + 3 = 0 is:
m is the smallest positive integer such that for any integer n > m, the quantity n3 – 7n2 + 11n – 5 is positive. What is the value of m?
If the equation x3 – ax2 + bx – a = 0 has three real roots, then it must be the case that,