Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).
What is a polynomial?
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
The given polynomial can be factorized as shown below.
x² - 9x + 20 = 0
Divided the middle term into two terms such that the sum of those two terms is -9, while the product of those two terms is +20.
Therefore, the two terms will be -5 and -4.
= x² - 5x - 4x + 20
Taking x as the common term from the first two terms and -4 as the common term from the last two terms.
= x(x-5)-4(x-5)
Taking (x-5) as the common term from the two formed terms,
=(x-5)(x-4)
Hence, the given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).
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