Question

. If (x - 2) is a factor of the polynomial x³ - 5x² + kx + 4 then the value of k is *

Answer 1

Answer:

Answer》k=4

Step-by-step explanation:

Hey mate! Here is your answer in this picture above....

Firstly from given information i.e., (x-2) we will find value of x as g(x).

Secondly we will put that value of x in polynomial p(x) and find the value of k as done above.

Still u face any difficulty in understanding or any other problem u can ask in comment box.

Answer 2

Given :

• (x - 2) is a factor of the polynomial x³ - 5x² + kx + 4

To find :

• The value of k.

Solution :

→ Let g(x) be (x - 2)

→ (x - 2) = 0

→ x = 2

→ This means that x = 2

Substituting the value of z in the polynomial (which will result in 0) :-

→ p(2) = 2³ - 5 (2)² + k(2) + 4 = 0

→ 8 - 20 + 2k + 4 = 0

→ -8 + 2k = 0

→ 2k = 8

→ k = 8/2

→ k = 4

Therefore the value of k is 4.

VERIFICATION :

→ x³ - 5x² + kx + 4

We can substitute the value of x and k in the polynomial.

→ 2³ - 5(2)² + 4 x 2 + 4

→ 8 - 20 + 8 + 4

→ 20 - 20

→ 0

LHS = RHS

Hence, Verified!!