Leahh15
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Factoring quadratic trinomials.
List down all the factors of (13).
List down the sum of (40).
Identify which two factors add up to 13.
x^2 + 13x + 40
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Factoring Quadratic TrinomialsList Down All The Factors Of 13 List Down The Sum Of 40Identify Which Two Factors Add Up To 13x2 13x 40 class=

Sagot :

Cricetus

Answer:

The correct solution is "x = -5 and x = -8".

Step-by-step explanation:

The given equation is:

⇒ [tex]x^2+13x+40=0[/tex]

On factorizing the above equation, we get

⇒ [tex]x^2+5x+8x+40=0[/tex]

On taking "x" common, we get

⇒ [tex]x(x+5)+8(x+5)=0[/tex]

⇒         [tex](x+5)(x+8)=0[/tex]

Now,

⇒                       [tex]x+5=0[/tex]

On subtracting "5" from both sides, we get

⇒                 [tex]x+5-5=0-5[/tex]  

⇒                             [tex]x=-5[/tex]

Or,

⇒                        [tex]x+8=0[/tex]

On subtracting "8" from both sides, we get

⇒                  [tex]x+8-8=0-8[/tex]

⇒                              [tex]x=-8[/tex]

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