# Polynomials

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Polynomials is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions!!
1. ### Polynomials - Possible pairs of Solutions

How many pairs of integer (a, b) are possible such that a2 – b2 = 288?

1. 6
2. 12
3. 24
4. 48
• Correct AnswerChoice (C): 24 Correct answer
• Possible pairs of Solutions
• Hard
2. ### Polynomial Remainder Theorem

Solve the inequality x3 – 5x2 + 8x – 4 > 0.

1. (2, ${\infty}$)
2. (1, 2) ${\cup}$ (2, ${\infty}$)
3. (-${\infty}$, 1) ${\cup}$ (2, ${\infty}$)
4. (-${\infty}$, 1)
• Polynomial Remainder Theorem
• Hard
3. ### Remainder Theorem

x4 – ax3 + bx2 – cx + 8 = 0 divided by x – 1 leaves a remainder of 4, divided by x + 1 leaves remainder 3, find b.

1. 2.5
2. -5.5
3. 3.5
4. 6.5
• Polynomial Remainder Theorem
• Easy
4. ### Sum of squares of nos.

What is the sum of 12 + 32 + 52 …….312?

1. 9455
2. 5456
3. 3468
4. 4892
5. ### Polynomial Remainder Theorem

What is the remainder when x4 + 5x3 – 3x2 + 4x + 3 is divided by x + 2?

1. -41
2. -31
3. -18
4. 41
• Correct AnswerChoice (A): -41 Correct answer
• Polynomial Remainder Theorem
• Medium

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