Question

find the HCF by long divison method 269,580and178​

Answer 1

Step-by-step explanation:

By arranging the two polynomials in the descending order of powers of x we get,

4a4 – 20a3 + 40a2 – 32a and 2a4 – 8a3 + 14a2 – 12a

(ii) By taking out the common factors from the terms of the expressions we get,

4a4 – 20a3 + 40a2 – 32a

= 4a(a3 – 5a2 + 10a – 8) 2a4 – 8a3 + 14a2– 12a

= 2a(a3 – 4a2 + 7a – 6)

At the time of writing the final result the H.C.F. of 4a and 2a i.e. 2a is to be multiplied with the divisor of the last step.

(iii)

H.C.F. of Polynomials by Long Division Method

0Save

Therefore, the H.C.F. of 4a4 + 40a2 – 20a3 – 32a and 2a4 – 12a – 8a3 + 14a2 is 2a(a – 2)