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Chapter 7: Q 210. (page 850)

Factorize the following trinomial :-16t2+12t+4

Short Answer

Expert verified

The factors of the given polynomial is :-4(4t+1)(t-1)

Step by step solution

01

Step 1. Given Information

Given expression is :-16t2+12t+4=-4(4t2-3t-1)

02

Step 2. Find 'ac'

Here, 'ac' is4脳1=4

03

Step 3. Factorization

Here,

-16t2+12t+4=-4(4t2-3t-1)=-4(4t2-4t+t-1)=-4{4t(t-1)+1(t-1)}=-4(t-1)(4t+1)

04

Step 4. Check

Now,

-4(4t+1)(t-1)=-4(4t2+t-4t-1)=-4(4t2-3t-1)=-16t2+12t+4

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