Problem

Factorize the polynomial 4x2−16x+16

Answer

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Answer

Step 3: Expanding 4(x−2)2, we get 4x2−16x+16 which is same as our original polynomial. Therefore, the factorized form of the polynomial 4x2−16x+16 is 4(x−2)2.

Steps

Step 1 ：Step 1: Prepare the quadratic expression in the form of ax2−bx+c. Here, it is already in the required form, where a=4,b=16,c=16.

Step 2 ：Step 2: Check if this quadratic expression can be written as a(x−h)2. Here, h=b2a=162∗4=2. Substituting h=2 in a(x−h)2, we get 4(x−2)2.

Step 3 ：Step 3: Expanding 4(x−2)2, we get 4x2−16x+16 which is same as our original polynomial. Therefore, the factorized form of the polynomial 4x2−16x+16 is 4(x−2)2.

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