Question

select the correct answer from each drop - down menu. consider the trinomial below. (x^{2}-20x + 91). the factors of the given trinomial are ( )( ).

Explanation:

Step1: Find two numbers

We need two numbers that multiply to 91 and add up to 20. The numbers are 13 and 7 since \(13\times7 = 91\) and \(13 + 7=20\).

Step2: Write the factored form

For the quadratic trinomial \(x^{2}-20x + 91\), using the fact - oring method for \(ax^{2}+bx + c\) (\(a = 1\)), we get \((x - 13)(x - 7)\).

Answer:

\((x - 13)(x - 7)\)