Question

If the expression x6 + 6x4 + 4x + k has a factor x + 5, then what is the value of k?
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❥╬٨ـﮩﮩgd morning ​

Answer 1

Answer:

Step-by-step explanation:

Let p (x) = x⁶ + 6x⁴ + 4x + k = 0

If ( x +5 ) is a factor of p (x) ,then x = - 5.

p ( - 5 ) = ( - 5 )⁶ + 6 (- 5)⁴ + 4 (- 5 ) + k = 0

⇒ 15625 + 6 (625) - 20 + k = 0

⇒ 15625 + 3750 - 20 + k = 0

⇒ 19355 + k = 0

⇒ k = - 19355

Answer 2

$\huge\red{Answer}$

Given x

4

+(p−3)x

3

−(3p−5)x

2

+(2p−9)x+6

x+1 is a factor ⇒x=−1 is a root of given equation.

Substituting it, we get

(−1)

4

+(p−3)(−1)

3

−(3p−5)(−1)

2

+(2p−9)(−1)+6=0

1−p+3−3p+5−2p+9+6=0

−6p+24=0

⇒p=4

Thank you didi ☺️..Ap jo answers dete ho usi ko flw KRKE mujhe 50 pnts mil Jate h..( ╹▽╹ )

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Hope it helps