Question

How to find HCF of algebraic expressions

Answer 1

★Step 1 : Let " f(x) " and " g(x) " be the given polynomials. First, divide f(x) by g(x) to obtain, f(x) = g(x) x q(x) + r (x)

★Step 2 : If the remainder r(x) is not zero, then divide g(x) by r(x) to obtain g(x) = r(x) x q(x) + r₁ (x).

★Step 3 : If it is not zero, then continue the process until we get zero as remainder.

hope it helps you ❤️✌️

Answer 2

HCF of algebraic expressions by division method :

Sometimes the given polynomials are not factorable because of their highest powers. However, the following method gives a systematic way on finding HCF.

Step 1 :

Let " f(x) " and " g(x) " be the given polynomials. First, divide f(x) by g(x) to obtain, f(x) = g(x) x q(x) + r (x)

So, deg [ g(x) ] > deg [ r(x) ]. If remainder r (x) = 0, then g(x) is the HCF of given polynomials.

Step 2 :

If the remainder r(x) is not zero, then divide g(x) by r(x) to obtain g(x) = r(x) x q(x) + r₁ (x).

Where r₁ (x) is remainder. If it is zero, then r(x) is the required HCF.

Step 3 :

If it is not zero, then continue the process until we get zero as remainder.