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\((2x+5)\ (2x+7) \) is equal to:
On dividing \(x^22x15\) by \((x5)\) the quotient is \((x+3)\) and remainder is 0. Which of the following statement is true ?
is a multiple of
\(x^{140} + x^{139}+x^{138}+….x^2+ x + 1 \) is a polynomial with:
There are 141 terms in this polynomial
If \((yp) \) is a factor of \( y^6 – py^5 + y^4 – py^3 +3yp2\) then the value of \(p \) is:
Let
So
The value of \(7^3 + 8^3 15^3 \) is:
On factrosing \(x^3 – 2x^2 x+ 2 \), we get:
On
Which of the following is a monomial of degree 50?
is a monomial of degree 50 as it has only one term
On factorising \(x^23x4 \), 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 :
Degree of < degree of . The degree of is always less than
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:
So, all the above are factors
If \(x^{\frac{1}{2}}+y^{\frac{1}{2}}z^{\frac{1}{2}}=0 \), then the value of \((x+yz)^2 \) is
Squaring
The value of \(x^3+y^3+9xy27 \), if \(x=3y \) is:
The value of \(\dfrac{(xy)^3+(yz)^3+(zx)^3}{(x^2y^2)^3+(y^2z^2)^3+(z^2x^2)^3} \) is:
Let
If then
So denominator
Numerator
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 \(x^3y^3 \) is:
If \(49x^2b=\left(7x+\dfrac{1}{2}\right)\ \left(7x\dfrac{1}{2}\right) \), then the value of \(b \) is:
If \(a+b+c=0 \). Then \(a^3+b^3+c^3 \) is equal to
If then
If a polynomial \(f(x)\) is divided by \(xa\), then remainder is :
If a polynomial is divided by then the remainder is . This is known as remainder theorem
The factors of \((2a – b)^3+ (b – 2c)^3+ 8(c – a)^3 \) is:
So,
If \(x^{\frac{1}{3}}+y^{\frac{1}{3}}+z^{\frac{1}{3}}=0 \), then which one of the following expression is correct?
If then
What is the remainder when \(x^32x^2+x+1 \) is divided by \((x1) \)?
Zero of the polynomial \(p(x)\) where \(p(x)=ax,a \ne 0\) is :
Zero of the polynomial where 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 \(y \) ?
is a binomial in
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 \(x^3y^3 \) is:
If \(x^2+kx+6=(x+2)(x+3) \) for all \(x \), the value of \(k \) is:
So,