Questions Bank-MCQ-POLYNOMIALS – Class IX

\((2x+5)\ (2x+7) \) is equal to:

On dividing \(x^2-2x-15\) by \((x-5)\) the quotient is \((x+3)\) and remainder is 0. Which of the following statement is true ?

\(x^{140} + x^{139}+x^{138}+….x^2+ x + 1 \) is a polynomial with:

If \((y-p) \) is a factor of \( y^6 – py^5 + y^4 – py^3 +3y-p-2\) then the value of \(p \) is:

The value of \(7^3 + 8^3 -15^3 \) is:

On factrosing \(x^3 – 2x^2 -x+ 2 \), we get:

Which of the following is a monomial of degree 50?

On factorising \(x^2-3x-4 \), we get:

If p(x) = x + 3, then p(x) + p(-x) is equal to :

Which one of the following is a polynomial ?

On factorising \(x^2 + y^2 + z^2+2\ (xy + yz + zx)\), we get

When p(x) is divided by ax – b, then the remainder is :

If \(p(x) = q(x) \times g(x) + r(x), r(x) \ne 0,\) where \(p(x)\ q(x), g(x)\) and \(r(x)\) are polynomials, then :

The value of \((x – y)^3 + (y – z)^3 (z – x)^3 \) is:

On factorising \(x^2+\left(m+\dfrac{1}{m}\right)x+1 \), we get:

One of the factors of \(2-\dfrac{2}{x^2y^2} \) is:

If \(x^{\frac{1}{2}}+y^{\frac{1}{2}}-z^{\frac{1}{2}}=0 \), then the value of \((x+y-z)^2 \) is

The value of \(x^3+y^3+9xy-27 \), if \(x=3-y \) is:

The value of \(\dfrac{(x-y)^3+(y-z)^3+(z-x)^3}{(x^2-y^2)^3+(y^2-z^2)^3+(z^2-x^2)^3} \) is:

Which of the following is a factor of \((x + y)^3 -(x^3 + y^3)\)?

If \(\dfrac{x}{y}+\dfrac{y}{x}=-1(x,y\ne0) \), then the value of \(x^3-y^3 \) is:

If \(49x^2-b=\left(7x+\dfrac{1}{2}\right)\ \left(7x-\dfrac{1}{2}\right) \), then the value of \(b \) is:

If \(a+b+c=0 \). Then \(a^3+b^3+c^3 \) is equal to

If a polynomial \(f(x)\) is divided by \(x-a\), then remainder is :

The factors of \((2a – b)^3+ (b – 2c)^3+ 8(c – a)^3 \) is:

If \(x^{\frac{1}{3}}+y^{\frac{1}{3}}+z^{\frac{1}{3}}=0 \), then which one of the following expression is correct?

What is the remainder when \(x^3-2x^2+x+1 \) is divided by \((x-1) \)?

Zero of the polynomial \(p(x)\) where \(p(x)=ax,a \ne 0\) is :

Product of \(\left(x-\dfrac{1}{x}\right)\ \left(x+\dfrac{1}{x}\right)\ \left(x^2+\dfrac{1}{x^2}\right) \) is

Which of the following is a bionomial in \(y \) ?

If \(x^{51}+51 \) is divided by \((x+1) \), the remainder is

If \(\dfrac{x}{y}+\dfrac{y}{x}=-1,(x,y\ne 0) \), the value of \(x^3-y^3 \) is:

If \(x^2+kx+6=(x+2)(x+3) \) for all \(x \), the value of \(k \) is: