Polynomials - Olympiad Level MCQ, Class 9 Mathematics - Class 9 MCQ

Find the value of   , if  = 3 

If 3 + 5 – 8 = 0, then the value of (3)³ + (5)³ – (8)³ is

If t² – 4t + 1 = 0, then the value of   is :-

If x + y = 5 and xy = 6, the value of (x³ + y³) is :-

If   = 1, then x is equal to :-

If 2^x – 2^x-1 = 16, then the value of x² is :-

If x and y are non-zero rational unequal numbers, then   is equal to :-

If   the value of (x + y + z) is :-

If (x – 2) is a factor of (x² + 3Qx – 2Q), then the value of Q is :-

If x + 2 is a factor of x³ – 2ax² + 16, then value of a is

If (x – a) is a factor of (x³ – 3x²a + 2a²x + b), then the value of b is :-

If (x + 2) and (x – 1) are the factors of (x³ + 10x² + mx + n), the values of m and n are :-

If (x⁵ – 9x² + 12x – 14) is divided by (x – 3), the remainder is :-

If (x¹¹ + 1) is divided by (x + 1), the remainder is :-

The value of expression (16x² + 24x + 9) for x = (-3/4) is :-

When (x³ – 2x² + px – q)  is divided by (x² – 2x – 3), the remainder is (x – 6). The values of p and q are:-

For making (x⁴ – 11x²y² + y⁴) a perfect square, the expression to be added is :-

The factors of (x⁴ + 625) are :-

The factors of (x² – 8x – 20) are :-

The factors of (x² – 11xy – 60y²) are :-

The factor of (216x³ – 64y³) are :-

The factors of (x³ – 5x² + 8x – 4) are :-

(x + y)³ – (x – y)³ can be factorized as :-

The factors of x³ – 7x + 6 are :-

If a + b + c = 0, then a² + b² + c² is :-

When x¹³ + 1 is divided by x + 1, the remainder is :-

When x³ + 2x² + 2x – 4 and x³ + 2x² – 3x + 6 are divided by x – 2, the remainder are R₁ and R₂ respectively.
Which of the following statements is true for R₁ and R₂ ?