Respuesta :
Polynomials consist of both indeterminates and coefficients. The factors of the polynomial x² - 15x + 36 is (x-3)(x-12).
What are polynomials?
A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.
Given to us
x² - 15x + 36
To find the factors of the polynomial,
[tex]x^2 - 15x + 36 \\\\[/tex]
We will replace -15 with two numbers such that their sum is -15 while, their product must be 36.
[tex]x^2 - 15x + 36 \\\\ = x^2 -12x-3x +36\\\\[/tex]
now, we will take x as the common term from the first two-term, while 3 as the common term from the next two terms.
[tex]= x^2 -12x-3x +36\\\\= x(x-12) - 3 (x - 12)\\\\= (x-3)(x-12)[/tex]
Hence, the factors of the polynomial x² - 15x + 36 is (x-3)(x-12).
Learn more about Polynomials:
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