Question

if x - 1 is a factor of 3 x cube + 2 x square - 3 x + k then value of k is​

Answer 1

Answer:

x-1=0/X=1

3x^2+2x^2-3x+k=0

3+2-3+k=0

2+k=0

k=-2

3×-8+2×4-3×-2+k=0

-24+8+6+k=0

-24+14=0

-10+k=0

k=10

Answer 2

The value of k = - 2

Step-by-step explanation:

Let the given quadratic polynomial:

$P(x):3x^{3}+2x^{2}-3x+k$     ........ (1)

x - 1 is a factor of P(x).

To find, the value of k = ?

∴ x - 1 = 0

⇒ x = 1

Put x = 1 in (1), we get

∴ P(1) = 0

$3(1)^{3}+2(1)^{2}-3(1)+k=0$

⇒ $3(1)+2(1)-3+k=0$

⇒ $3+2-3+k=0$

⇒ $2+k=0$

⇒ k = - 2

Hence, the value of k = - 2