Question

if X + 3 the factor for the polynomial 2xki power 4 + 4 x + 3 + 7 x ki power 2 + 8 x cube​

Answer 1

Answer:

Step-by-step explanation:

Let p ( x ) = 2x⁴ + 8x³ + 7x² + 4x + 3

If ( x + 3 ) is a factor of p ( x ),

Then x = - 3.

Now substituting x = - 3 in p ( x ),we have

p ( - 3 ) = 2 ( - 3 )⁴ + 8 ( - 3 )³+ 7 ( - 3 )² + 4 ( - 3 ) + 3

⇒ 2 ( 81 ) + 8 ( - 27 ) + 7 ( 9 ) - 12 + 3

⇒ 162 - 216 + 63 - 12 + 3

⇒ 228 - 228

⇒ 0 .

Hence, ( x + 3 ) is a factor of p ( x ).