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alina1380 [7]
3 years ago
14

What is the expression in factored form? 4x^2+11x+6Show work please!!

Mathematics
2 answers:
Irina18 [472]3 years ago
6 0
To solve this I'm going to split the middle term.
First multiply the first and last terms:
24x^2
So find two numbers that multiply to 24x^2 and add to 11x.
This would be 3x and 8x
Rewrite the problem as
4x^2+3x+8x+6
Take the first and 3rd and 2nd and 4th terms
4x^2 and 8x
and
3x and 6
Factor by grouping
Take out a 4x for the first group to get 4x(x+2)
Take out a 3 for the 2nd group to get 3(x+2)
Rewrite as (4x+3)(x+2)
Hope this helps.

pshichka [43]3 years ago
5 0
4x²+11x+6 in factored form is (4x+3) (x+2)
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\large{ \tt{❃ \: EXPLANATION}} :

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\large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} :

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\large{ \tt{⇢ {p}^{2} +  {b}^{2}   =  {h}^{2} }}

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\large{ \tt{⇢ \:  {b}^{2} = {37}^{2} -  {12}^{2}   }}

\large{ \tt{⇢ \:  {b}^{2}  = 1369 - 144}}

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\large{ \tt{⇢ \: b =  \sqrt{1225}}}

\large{ \tt{⇢ \: b = 35  \: \text {units}}}

  • Now , We know - Tan θ= \tt{ \frac{perpendicular}{base} }. Just plug the values :

\large{ \tt{➝ \: Tan  \: \theta =  \frac{p}{b}  = \boxed{ \tt{  \frac{12}{35} }}}}

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