### Polynomials - Possible pairs of Solutions

How many pairs of integer (a, b) are possible such that a

^{2}– b^{2}= 288?- 6
- 12
- 24
- 48

**Correct Answer**Choice (C): 24 Correct answer- Explanatory Answer
- Possible pairs of Solutions
- Hard

### Polynomial Remainder Theorem

Solve the inequality x

^{3}– 5x^{2}+ 8x – 4 > 0.- (2, )
- (1, 2) (2, )
- (-, 1) (2, )
- (-, 1)

**Correct Answer**Choice (B): Correct answer- Explanatory Answer
- Polynomial Remainder Theorem
- Hard

### Remainder Theorem

x

^{4}– ax^{3}+ bx^{2}– cx + 8 = 0 divided by x – 1 leaves a remainder of 4, divided by x + 1 leaves remainder 3, find b.- 2.5
- -5.5
- 3.5
- 6.5

**Correct Answer**Choice (B): Correct answer- Explanatory Answer
- Polynomial Remainder Theorem
- Easy

### Sum of squares of nos.

What is the sum of 1

^{2}+ 3^{2}+ 5^{2}…….31^{2}?- 9455
- 5456
- 3468
- 4892

**Correct Answer**Choice (B): Correct answer- Explanatory Answer
- Sum of squares of nos.
- Medium

### Polynomial Remainder Theorem

What is the remainder when x

^{4}+ 5x^{3}– 3x^{2}+ 4x + 3 is divided by x + 2?- -41
- -31
- -18
- 41

**Correct Answer**Choice (A): -41 Correct answer- Explanatory Answer
- Polynomial Remainder Theorem
- Medium

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