I. Polynomials (Challenge)
Exams by Grade · K10 · Author: jaeinpark
Q1 The quotient of the polynomial divided by is , and the remainder is . What is the remainder when dividing the polynomial by ? Q2 When , find the value of . Q3 For any real such that , what is the value of that satisfies ? Q4 What is the coefficient of in the expansion of the polynomial ? Q5 If the polynomial is divided by , the quotient is and the remainder is . When the remainder of divided by is and the remainder of divided by is , find the value of . Q6 The quotient of the polynomial divided by is , and the remainder is . What is the remainder when dividing the polynomial by ? Q7 Find the remainder when is divided by . Q8 Find the maximum value of the real number such that the function is increasing on the entire set of real numbers. Q9 When , find the value of . Q10 Regardless of the value the following equality always holds: Find the value of for the constants , and .