Question

Factorise this polynomial please

Answer 1

$\huge{ \underline{ \underline{ \boxed{ \sf{ \red{AnsweR :}}}}}}$

We can solve this polynomial by the process called Splitting the middle term.

• Given Polynomial : 2x² - 15x + 25 = 0

$\sf{2x^{2} - 15x + 25}$

$\sf{2{x}^{2} - 10x + 5x + 25 = 0}$

$\sf{2x(x - 5) - 5(x - 5) = 0}$

$\sf{ (x - 5)(2x - 5) = 0}$

$\boxed{ \blue{x = 5}}$

$\boxed{\red{x = \frac{5}{2}}}$

Therefore, the polynomial is factorised!

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$\sf{Thank \: You! \: }$

Answer 2

Answer:

x = 5 , x = 5/2

Step-by-step explanation:

By the method of factorisation ,

2x²- 15x +25= 0

2* 25 = 50

it can be written as

2x²- 10x - 5x +25=0

2x(x-5)- 5 (x-5)= 0

(x-5) (2x-5)= 0

x= 5 , x= 5/2