Question

hcf of an algebraic expression ​

Answer 1

$\huge{Answer:}$


HCF OF ALGEBRAIC EXPRESSIONS BY DIVISION METHOD

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

example :-

Find the HCF of the following pairs of polynomials using division algorithm

x³ - 9 x² + 23 x - 15 ,  4 x² - 16 x + 12

Solution :

Let f (x) = x³ - 9 x² + 23 x - 15, g (x) = 4 x² - 16 x + 12

g (x)  =  4 (x² - 4 x + 3)