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Question number 9

Answer 1

Question ]

( x - 2 ) is the factor of the polynomial 2x^2 + 3x - p then find the value of p

Answer ]

Therefor the value of p is

$\boxed{\textbf{\large{P=14}}}$

Explanation ]

☑ ( x - 2 ) is a factor of the given equation, Therefor the value of is

⟹ x = 2

☑ put the value of x in given equation [ 2x^2 + 3 x - p ]

⟹ ( 2x^2 + 3 x - p = 0 )

⟹ 2 ( 2 )^2 + 3 ( 2 ) - p = 0

⟹ 8 + 6 - p = 0

⟹ 14 - p = 0

⟹ P = 14

Therefor the value of p is

$\boxed{\textbf{\large{P=14}}}$

Verification ]

☑ put the value of p and x in given equation and equate the equation with zero

( 2x^2 + 3 x - p = 0 )

⟹ 2 ( 2 )^2 + 3 ( 2 ) - 14 = 0

⟹ 8 + 6 - 14 = 0

⟹ 14 - 14 = 0

⟹ 0 = 0