Question

question 9 of 10, step 1 of 1 factor the following trinomial. if it cannot be factored, indicate
ot factorable\. 20y² - 33y + 10 answer how to enter your answer (opens in new window) selecting a radio button will replace the entered answer value(s) with the radio button value. if the radio button is not selected, the entered answer is used. not factorable

Explanation:

Step1: Multiply leading & constant terms

$20 \times 10 = 200$

Step2: Find pair summing to -33

We need two negative numbers that multiply to 200 and add to -33: $-8$ and $-25$ (since $(-8) \times (-25)=200$, $-8 + (-25)=-33$)

Step3: Split middle term

$20y^2 -8y -25y +10$

Step4: Group and factor pairs

$$\begin{align} &(20y^2 -8y) + (-25y +10) \\ &= 4y(5y - 2) -5(5y - 2) \end{align}$$

Step5: Factor out common binomial

$(4y - 5)(5y - 2)$

Answer:

$(4y - 5)(5y - 2)$