find the coefficient of x² in the product of (x+9)(x+4)(x+5)
Share
find the coefficient of x² in the product of (x+9)(x+4)(x+5)
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
1
Step-by-step explanation:
please mark me brainleast
Step-by-step explanation:
To find the coefficient of x² in the product of (x+9)(x+4)(x+5), you need to perform the multiplication and then identify the term containing x².
(x+9)(x+4)(x+5) can be expanded as follows:
(x+9)(x+4)(x+5) = (x² + 13x + 36)(x+5)
Now, multiply the two expressions:
(x² + 13x + 36)(x+5) = x³ + 5x² + 13x² + 65x + 36x + 180
Combine like terms:
x³ + (5x² + 13x²) + (65x + 36x) + 180 = x³ + 18x² + 101x + 180
The coefficient of x² in the product is 18.
PLEASE MARK ME AS BRAINLIEST