Polynomials Tes...

What will be the remainder obtained when the expression x³ + 7x² + 14x + 14 is divided by x + 4?

Which of the following is true if x² - 25 is a factor of px⁴ + qx³ + rx² + sx + t?

There are (3a + 4b) biscuits in a pack and (4b - 3a) packs in a box. Now, if there are 16b² + 9a² boxes in a store, then find the total number of biscuits in the store.

Devinder had x³ - 2x² - 12x + 16 candies. He distributed them equally among (x – 4) friends. If he gave each friend the maximum possible number of candies while dividing equally among them, then find the number of leftover candies.

Kavya has (x³ + x² - 2ax - 2b) sweets. In order for no sweets to be left over, she can equally share them among either (x – 2) children or (x + 1) children. If x = 5, then find the number of sweets she has.