Question

select the correct answer from each drop - down menu. consider the trinomial x^2 - 9x + 20. the factors of this trinomial are ( )( ).

Explanation:

Step1: Find two numbers for factoring

We need two numbers that multiply to 20 and add up to 9. The numbers are 4 and 5 since \(4\times5 = 20\) and \(4 + 5=9\).

Step2: Write the factored form

For the trinomial \(x^{2}-9x + 20\), we rewrite - 9x as - 4x-5x. Then \(x^{2}-9x + 20=x^{2}-4x-5x + 20=x(x - 4)-5(x - 4)=(x - 4)(x - 5)\)

Answer:

\((x - 4)(x - 5)\)