Question

14p^2-48p-62 factories the equation.

Answer 1

Step-by-step explanation:

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Answer 2

Given:-

→p(x)=0

→14p²-48p-62=0

$\rule{200}{1}$

To Find:-

→The Value of p?

$\rule{200}{1}$

AnsWer:-

→14p²-48p-62=0

๛S=-48[Sum of Equation]

๛P=-868[Product of Equation]

•-62+14=-48→S

•-62×14=-868→P

★Since There are two common factors for the Equation we will go for Spiliting the Middle Term★

→14p²-62p+14p-62=0

→2p(7p-31)+2(7p-31)=0

๛2p+2=0

๛7p-31=0

$\rule{200}{1}$

•Taking 2p+2=0

→2p+2=0

→2p=-2

→p=$\frac{\cancel{-2}}{\cancel{2}}$

→p=-1

$\rule{200}{1}$

•Taking 7p-31=0

→7p-31=0

→7p=31

→p=$\frac{31}{7}$

$\rule{200}{2}$