Question

What value in place of the question mark makes the polynomial below a perfect square trinomial? x^+26x+?

Answer 1

You do 26 / 2, which would equal 13. Then you would do the square of 13, which would equal 169.

Answer 2

Answer: 169

Explanation:

A perfect square trinomial is written as
`ax^2+2abx+b^2`, where

first term
`ax^2`= square of first term of binomial

second term=
`2abx`=twice the product of both terms of binomial.

and third term
`b^2`=square of last term of binomial

In the given polynomial
`x^2+26x+?, a=1`

`2ab=26\\\Rightarrow2(1)b=26\\\Rightarrow b=13`

Hence, in place of the question mark makes the given polynomial a perfect square trinomial =
`b^2=13^2=169`