Question

Q16. Find the value of 'a', if(x-a) is a factor of 2x°- 2axº + 5x + a +6.​

Answer 1

Step-by-step explanation:

x - a = 0

x = a

Let p( x ) = 2x - 2ax + 5x + a + 6

p ( a ) = 2 ( a ) - 2a ( a ) + 5 ( a ) + a + 6

0 = 2a - 2a² + 5a + a + 6

0 = 2a - 2a² + 6a + 6

0 = 2 ( - a² + 4a + 3 )

0 = -a² + 4a + 3

0 = - a² - 3a - 1a + 3

0 = - a ( a - 3 ) - 1 ( a - 3 )

0 = ( a - 3 ) ( - a - 1 )

a = 3 or a = - 1

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