Factorization by Splitting the Middle Term

The HCF of $(x^3+3x^2-x-3)$ and $(x^3+4x^2+x-6)$ is-

If f(x)= $4x^3-2x^2+5x-8$s divided by $(x – 2)$ then the remainder is

${\mathrm{x}}^2-5\mathrm{x}-6=$_____.

Which one is a factor of the following expression?

$x^2-11x+24$

यदि $x^2+x-6=0$  तथा $x^2+6x+9=0$ हो तो $x$ बराबर होगा ?

${\mathrm{x}}^2+\mathrm{x}-20=$_____.

If $2x^2-7xy+3y^2=0$, then find the ratio of $x : y$.

$6x^2-2-4x$ in the form of factors is

$5-x\left(6-x\right)$ in the form of factors is:

Factorise: $(a-1)x^2-x-(a-2)$

Geometrically interpret the factors of a quadratic equation $2x^2+7x+3$.

Factorise: ${\left(x+4\right)}^2-5xy-20y+6y^2$

Solving equation $7\sqrt{\frac{x}{1-x}}+8\sqrt{\frac{1-x}{x}}=15$ following roots are obtained______

Solving equation $3x^2-14x+8=0$ we get roots as______

Solving equation $x^2-24x+135=0$ are, value(s) of $x$____

Solving equation $x^2-\left(a+b\right)x+ab=0$ are, value(s) of $x$______

Let $n$ be a positive integer. The number of common factors of $n^2+3n+1$ and $n^2+4n+3$ is equal to

Find pair of numbers which have:

Product $-180$ and sum $3$.

The pair of numbers which have product $240$ and sum $32$ are

The following expression can be factorized. The value that could fill the empty box is

$3x^2+\boxed{{}^{ {}^{{}^{}} }} x+2$