Question

Q.How to take the largest monomial that will divide each term of the given polynomial completely ( Chapter - Factorisation ).

$\implies Need \ \ quality \ \ answer$
$\implies Answer \ \ with \ \ solved \ \ example$​

Answer 1

The highest common factor (monomial) of the the polynomial is the greatest monomial that will completely divide each of the given terms of the polynomial.

For example,

(I)

$10 {x}^{2} - 25x + 50$

$= 5(2 {x}^{2} - 5x + 10)$

Here, 5 is the greatest monomial that will completely divide each of the given terms of the given polynomial.

(II)

${y}^{2} + 10y + 100$

$= 1( {y}^{2} + 10y + 100)$

Here, 1 is the greatest monomial that will completely divide each of the given terms of the given polynomial.

Hope it helps...

Answer 2

Answer:

The highest common factor (monomial) of the the polynomial is the greatest monomial that will completely divide each of the given terms of the polynomial. Here, 5 is the greatest monomial that will completely divide each of the given terms of the given polynomial.

HOPE IT HELPS!