Question

first to answer receives medal!!!!!;):):):)

Answer 1

4. Determine two different values of “b” in x2 + bx + 30 so that the expression can be factored into the product of two binomials. Explain how you determined those values and show each factorization. Explain how your process would change if the expression was 2x2 + bx + 30.

Answer 2

25 foxes and 2 muskrats

Answer 3

wait what???

Answer 4

hmm you said "first to answer" <----
now that doesn't mean the answer has to be relevant

Answer 5

have you covered quadratic factoring yet?

Answer 6

nope

Answer 7

can you tell which factors 30 has? is divisible by 2, and 3 and what else?

Answer 8

1,5,6,10,15 and 30??

Answer 9

right... so all those fellows are factors of 30
1, 2, 3, 5, 6, 10, 15 and 30

so the coefficient of the middle term, in that trinomial
will be a SUM of factors of 30
so 2 of those fellows SUMMED up will give "b" or middle term coefficient

and the same fellows multiplied will give 30

Answer 10

:) okay what's next??

Answer 11

so let's see if we can get one \(\large \begin{array}{cccllll}
x^2&+{\color{red}{ b}}x&+30\\
&\uparrow &\uparrow \\
&5+6&5\cdot 6\\
&{\color{red}{ b}}=11&&\implies (x+5)(x+6)\\
&10+3&10\cdot 3\\
&{\color{red}{ b}}=13&&\implies (x+10)(x+3)
\end{array}\)

Answer 12

see how it got factored? depending on the value of "b" or middle term coefficient

Answer 13

yes