1) Solve the following quadratic equation by factorization method.

3p2 + 8p+ 5= 0​

2 thoughts on “1) Solve the following quadratic equation by factorization method.<br /><br /> 3p2 + 8p+ 5= 0​”

1. Answer:

   3p2+8p+5=0

   3p2+3p+5p+5=0 (8p can be written as 8p=3p+5p)

   3p(p+1)+5(p+1)=0

   (p+1) (3p+5)=0

   Either (p+1)=0 or (3p+5)=0

   putting (p+1)=0

   p+1=0

   p= -1

   putting (3p+5)=0

   3p+5=0

   3p= -5

   p= -5/3

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2. Answer:

   [tex]p = \frac{-5}{3} or (-1)[/tex]

   Step-by-step explanation:

   [tex]3p^{2} + 8p + 5 = 0\\\\ => 3p^{2} + 5p + 3p + 5 = 0\\\\=> p(3p + 5) + 1(3p + 5) = 0\\\\=>(3p + 5)(p + 1) = 0\\\\=> 3p + 5 = 0 \\or \\=> p + 1 = 0\\\\Therefore, p = \frac{-5}{3} or (-1).[/tex]

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