factor the expression using the greatest common factor. 24a³ + 32a² + 40a\na 8(3a³ + 4a² + 5a)\nb 8a(3a² +…
factor the expression using the greatest common factor. 24a³ + 32a² + 40a\na 8(3a³ + 4a² + 5a)\nb 8a(3a² + 5a + 4)\nc 8(3a³ + 5a² + 4)\nd 8a(3a² + 4a + 5)
Answer
Answer:
D. $8a(3a^{2}+4a + 5)$
Explanation:
Step1: Find GCF of coefficients
The coefficients are 24, 32, 40. The GCF of 24, 32 and 40 is 8.
Step2: Find GCF of variable - parts
The variable - parts are $a^{3}$, $a^{2}$, $a$. The GCF of $a^{3}$, $a^{2}$, $a$ is $a$.
Step3: Factor out the GCF
Factor out $8a$ from $24a^{3}+32a^{2}+40a$. We get $8a(3a^{2}+4a + 5)$.