Question

Megan factored the expression 18x^2-57+35 as
(6x-7)(3x-5). But when Jacob applied the FOIL principle and multiplied out (6x-7)(3x-5), he got
18x^2-51x+35; thus, Megan's solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state this.

Answer 1

lolol Megan so silly!

She got all the right numbers, but combined them wrong!!!

\[6x \times 3x = 18x \]
\[(-5) \times (-7) = 35 \]

But she got the combinations of 6x and -7, and 3x and -5 wrong.

Answer 2

18x^2 *

Answer 3

what is 18x^2

Answer 4

6x multiplied by 3x; I was correcting a typo in my previous message.

Answer 5

oh sorry i see now.

Answer 6

i saw that too