Factor completely each polynomial, and indicate any that are not

ajedrezlaproa6j

ajedrezlaproa6j

Answered question

2021-12-19

Factor completely each polynomial, and indicate any that are not factorable using integers. 25t2100

Answer & Explanation

peterpan7117i

peterpan7117i

Beginner2021-12-20Added 39 answers

Step 1:Factor
Let, f(t)=25t2100
Step 2: We need to find
f(t)=25t2100
f(t)=(5t)2(10)2
Step 3 : Formula
We know,
a2b2=(a+b)(ab)
Step 4 : Solution
f(t)=(5t+10)(5t-10)
f(t)=5(t+2)*5(t-2)
f(t)=25(t+2)(t-2)
Step 5 : Answer
The required factor form is 25(t+2)(t-2).
chumants6g

chumants6g

Beginner2021-12-21Added 33 answers

Consider the polynomial 25t2100.
The above polynomial can be solved as follows.
25t2100=(5t)2(10)2 Match the expression with format a2b2
=(5t+10)(5t-10) As a2b2=(a+b)(ab)
So the Complete factor is (5t+10)(5t-10).

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