Polynomials Tes...

If quotient = 3x² – 2x + 1, remainder = 2x – 5 and divisor = x + 1, what is the dividend?

If x - = , then x² + =

Factorise a^2x – b^2x.

If x = , y = and z = , then the value of is

If x² + = 62, then x + equals to which of the following values?

One factor of x² + ax – 6 = 0 is (x –1) and x² – 9x + b = 0. Find the value among the given options which is equal to a + b.

The product of x²y³ and is equal to the quotient obtained when x² is divided by one of the following options. Choose the correct answer.

If 3x - 7y = 10 and xy = - 2, what is the value of 9x² + 49y²?

If p = (2 - a), then a³ + 6 ap + p³ - 8 is

If a + b+ c = 3x, find the value of (x - a)³ + (x - b)³ + (x - c)³ - 3 (x - a) (x - b) (x - c)

If a + b + c = 10 and a² + b² + c² = 40, then ab + bc + ca =

Choose the real factors of x² + 9 from the following:

For x² + 2x + 5 to be factor of x⁴ + px² + q, find the respective values of p and q out of the following options.

Factorise: px² + (4p² - 3q) x - 12 pq

_{If = 0, then}

Which of the following expressions is equivalent to (3x – 5y)³ + (2y – 5x)³ + (2x + 3y)³?

Which of the following is/are factor(s) of p³ (q - r)³ + q³ (r - p)³ + r³ ( p - q)³?

Evaluate

If a + b + c = 9 and ab + bc + ca = 26, then the value of a³ + b³ + c³ - 3abc is

If the polynomials 2x³ + ax² + 3x – 5 and x³ + x² – 4x + a leave the same remainder when divided by x - 2, then the value of a is