Question

find the GCD and LCM of the polynomial 15(4x³-4x²+x) and 35(2x²+7x+3)​

Answer 1

Answer:

Step-by-step explanation:

Factorizing x2 + 4x + 4 by using the identities (a + b)2, we get

(x)2 + 2(x)(2) + (2)2

= (x + 2)2

= (x + 2) (x + 2)

Also, factorizing x2 – 4, we get

(x)2 – (2)2, by using the identities of a2 - b2.

= (x + 2) (x - 2)

Therefore, H.C.F. of x2 + 4x + 4 and x2 – 4 is (x + 2).