Class: IX - FA
Subject: MATHEMATICS Chapter 2: Polynomials
Name : _____________________ Date: ___________________
MM: 30 Time: 1 Hour
1. Verify whether the indicated numbers are zeroes of their corresponding
polynomials. Q(x) = –4x 3 + 7x 2 – 24; x = 1 and –4. (2marks)
2. If x = –2 is a root of the polynomial P(x) = –2x 4 – 7x 3 – 3x 2 – tx – 10, then
find the value of t. (2 marks)
3. State whether the following statements are true or false. (2 marks)
(a) The degree of polynomial –5x 3 – 6x 4 – 8x 2 is 4. Give reason.
(b) The algebraic expression 𝑥 + − 2𝑥 + 1 is a polynomial. Give
reason.
4. Using the long division method, determine the remainder when the
polynomial 4x 5 + 2x 4 – x 3 + 4x 2 – 7 is divided by (x – 1). (4 marks)
5. Evaluate the following products using algebraic identities. (4 marks)
(a) (998) 3 (b) (1002) X (997)
6. If + 𝑡 = 8, then find the value of + 𝑡 . (3 marks)
7. Using a suitable identity, determine the value of: (4 marks)
(a) (22) 3 + (-12) 3 + (-10) 3 and (b) 64m 3 – 343n3
8. The polynomials P(x) = 4x 3 – sx 2 + 7 and Q(x) = x 2 + sx + 8 leave the same
remainder when divided by (x – 1). Find the value of s. (4 marks)
9. Factorise: (3+2 marks)
(a) 2y 3 – 4y 2 – 2y + 4
(b) 13x 2 – 30x – 18
__________________________________________________________________________________
Space for rough work:
SNS/Class IX/FA/CH-2 Polynomials/VG/July23
Subject: MATHEMATICS Chapter 2: Polynomials
Name : _____________________ Date: ___________________
MM: 30 Time: 1 Hour
1. Verify whether the indicated numbers are zeroes of their corresponding
polynomials. Q(x) = –4x 3 + 7x 2 – 24; x = 1 and –4. (2marks)
2. If x = –2 is a root of the polynomial P(x) = –2x 4 – 7x 3 – 3x 2 – tx – 10, then
find the value of t. (2 marks)
3. State whether the following statements are true or false. (2 marks)
(a) The degree of polynomial –5x 3 – 6x 4 – 8x 2 is 4. Give reason.
(b) The algebraic expression 𝑥 + − 2𝑥 + 1 is a polynomial. Give
reason.
4. Using the long division method, determine the remainder when the
polynomial 4x 5 + 2x 4 – x 3 + 4x 2 – 7 is divided by (x – 1). (4 marks)
5. Evaluate the following products using algebraic identities. (4 marks)
(a) (998) 3 (b) (1002) X (997)
6. If + 𝑡 = 8, then find the value of + 𝑡 . (3 marks)
7. Using a suitable identity, determine the value of: (4 marks)
(a) (22) 3 + (-12) 3 + (-10) 3 and (b) 64m 3 – 343n3
8. The polynomials P(x) = 4x 3 – sx 2 + 7 and Q(x) = x 2 + sx + 8 leave the same
remainder when divided by (x – 1). Find the value of s. (4 marks)
9. Factorise: (3+2 marks)
(a) 2y 3 – 4y 2 – 2y + 4
(b) 13x 2 – 30x – 18
__________________________________________________________________________________
Space for rough work:
SNS/Class IX/FA/CH-2 Polynomials/VG/July23
