Respuesta :
Answer:
(x - 3)(x - 12)
Step-by-step explanation:
Given
x² - 15x + 36
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 15)
The factors are - 3 and - 12, since
- 3 × - 12 = + 36 and - 3 - 12 = - 15, hence
x² - 15x + 36 = (x - 3)(x - 12) ← in factored form
The factored form of the polynomial x² − 15x + 36 is (x − 3)(x − 12). This can be obtained by using the steps of splitting the middle term method.
Find the factored form using splitting the middle term:
Given the polynomial, x² − 15x + 36
- Step 1:First we should multiply first term and last term, x²×36=36x²
- Step 2:This product ,that is 36x², should be slit such that the factors sum is the middle term, -15x.
(-3x)×(-12x)=36x² and (-3x)+(-12x)= - 15x
-3x and -12x are the required factors of 36x²
- Step 3:Substitute the factors in the place of middle term,
x² - 3x - 12x+36
- Step 4:Take common terms from the first two terms and last two terms,
x² - 3x - 12x+36 = x(x - 3) - 12(x - 3)
=(x - 3)(x - 12)
Hence the factored form of the polynomial x² − 15x + 36 is (x − 3)(x − 12).
Learn more about factorisation of polynomial here:
brainly.com/question/2004756
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