Question

Using factor theorem, factorize the polynomial: x⁴ – 7x³ + 9x² + 7x – 10

If x + 2a is a factor of x⁵ – 4a²x³ + 2x + 2a + 3, find a.

If x⁵¹ + 51 is divided by x + 1, the remainder is

One day, the principal of a particular school visited the classroom. Class teacher was teaching the concept of polynomials to students. He was very much impressed by her way of teaching. To check, whether the students also understand the concept taught by her or not, he asked various questions to students. Some of them are given below.