Question

Polynomial x^3+kx^2-7x+6 has reminder -4 when divided by x+2 ,if k =?

Answer 1

If (x+2) is divided by x^3+kx^2-7x+6

Then (x+2) = 0

• x = -2

Let's substitute vale of x in the given equation,

⇒ (-2)^3+k(-2)^2-7(-2)+6 = -4 [Remainder is -4]

⇒ -8+4k+14+6 = -4

⇒ 4k+12 = -4

⇒ 4k = -4-12

⇒ 4k = -16

⇒ k = -16/4

⇒ k = -4

Therefore, the value of k is (-4).

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