what is factor of x2+26x+169
Answers
Answer:
(x - 13)2
Step-by-step explanation:
Trying to factor by splitting the middle term
1.1 Factoring x2-26x+169
The first term is, x2 its coefficient is 1 .
The middle term is, -26x its coefficient is -26 .
The last term, "the constant", is +169
Step-1 : Multiply the coefficient of the first term by the constant 1 • 169 = 169
Step-2 : Find two factors of 169 whose sum equals the coefficient of the middle term, which is -26 .
-169 + -1 = -170
-13 + -13 = -26 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -13 and -13
x2 - 13x - 13x - 169
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-13)
Add up the last 2 terms, pulling out common factors :
13 • (x-13)
Step-5 : Add up the four terms of step 4 :
(x-13) • (x-13)
Which is the desired factorization
Multiplying Exponential Expressions:
1.2 Multiply (x-13) by (x-13)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-13) and the exponents are :
1 , as (x-13) is the same number as (x-13)1
and 1 , as (x-13) is the same number as (x-13)1
The product is therefore, (x-13)(1+1) = (x-13)2
Final result :
(x - 13)2
Answer:
ur ans is 13 ...
The factor of x2+26x+169 is 13
Step-by-step explanation:
hope it will help u