Factorize 25^2+30+9
pls mention the steps
Answers
Correct Question :
Factorize : 25x² + 30x + 9
Answer :
(5x + 3) (5x + 3)
Step-by-step explanation :
Given quadratic polynomial,
25x² + 30x + 9
=> It is of the form ax² + bx + c
a = 25, b = 30, c = 9
a - coefficient of x²
b - coefficient of x
c - constant term
By sum-product pattern,
>> Find the product of quadratic term [ax²] and constant term [c]
= 25x² × 9
= 225x²
>> find the factors of "225x²" in pairs
=> (x) (225x)
=> (75x) (3)
=> (45x) (5x)
=> (25x) (9x)
=> (15x) (15x)
>> From the above, find the pair that adds to get linear term [bx]
15x + 15x = 30x
>> So, split 30x as 15x and 15x
25x² + 30x + 9
25x² + 15x + 15x + 9
>> Find the common factor
5x(5x + 3) + 3(5x + 3)
(5x + 3) (5x + 3)
25x² + 30x + 9 = (5x + 3) (5x + 3)
Step-by-step explanation:
refer the attachment....
Here is a simple explanation....!!!!!
