SOLUTION: I am struggling with this problem, Can someone please help?
Megan factored the expression 28x^2-25x+3 as (7x-3)(4x-1). But when Jacob applied the FOIL principle and mulitiplied
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Question 407811: I am struggling with this problem, Can someone please help?
Megan factored the expression 28x^2-25x+3 as (7x-3)(4x-1). But when Jacob applied the FOIL principle and mulitiplied out (7x-3)(4x-1), he got 28x^2-19x+3; 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.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
as ...let' multiply this
...........Jacob was right
....here Megan needed to replace with sum or difference of two numbers in order to group terms (she needed four terms in this expression)
she took which makes
she needed to replace with a pair of numbers that add to
first of all she needed to multiply the leading coefficient and the last term ,-she would have
second of all she needed to list all of the possible factors of and next
these factors pair up to multiply to 84 and see which of these pairs add to
1*84=84
2*42=84
3*28=84
4*21=84
6*14=84
7*12=84
(-1)*(-84)=84
(-2)*(-42)=84
(-3)*(-28)=84
(-4)*(-21)=84
(-6)*(-14)=84
(-7)*(-12)=84
We can see from the table that and add to ; so, she needed them to use
let's try it:
...group terms
... is a common term
.......this would be her correct solution
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