Question

what is the value of K​

Answer 1

$<b><font color=purple>$

$<marquee behavior="alternate">FOLLOW ME PLEASE</marquee>$

$\huge {\pink {\tt {ANSWER:-}}}$

$\large {\purple {\tt {p(x) = (x+2)(x+k)(x-7)}}}$

$\large {\pink {\tt {p(5) = (5+2)(5+k)(5+7) = 0}}}$

$\large {\purple {\tt {or, \: p(5) = 7 \times (5+k) \times 12 = 0}}}$

$\large {\pink {\tt {or, \: p(5) = 5+k = -84}}}$

$\large {\purple {\tt {or, \: p(5) = k = -84 - 5}}}$

$\huge {\purple {\boxed {\pink {\boxed {\purple {\boxed {\pink {\tt { k = -89}}}}}}}}}$

Answer 2

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$\huge\tt {GIVEN:}$

• P( X ) = ( X + 2 ) ( X + K ) ( X - 7 )
• P( 5 ) = 0

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$\huge\tt {TO~FIND:}$

• THE VALUE OF K

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$\huge\tt {SOLUTION:}$

↪p(x) = (x+2)( x+k) (x-7)

↪p(x)=(x+2) (x+k) (x−7)

↪p(5) = (5+2) (5+k) (5+7) = 0

↪p(5) = 7 × (5+k) × 12 = 0

↪p(5) = 5 + k= −84

↪p(5) = k = −84 −5

↪k = −89

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