Question

8. If (x - 1) is a factor of 2x ³+ 3x²- 8x + K, then the value of k is
A)1
B) 2(c)3(d)4​

Answer 1

Answer:

it's simple...

Step-by-step explanation:

in place of x put 1 bcz its a factor of the given equation

Answer 2

Given :-

• (x - 1) is a factor of 2x³ + 3x² - 8x + k

To find :-

• Value of k?

Solution :-

(x - 1) is a factor of given polynomial.

So,

⇻ (x - 1) = 0

⇻ x = 1

★ Now, Putting value of x in given polynomial,

➻ p(x) = 2x³ + 3x² - 8x + k = 0

➻ 2(1)³ + 3(1)² - 8(1) + k = 0

➻ 2 + 3 - 8 + k = 0

➻ 5 - 8 + k = 0

➻ k - 3 = 0

➻ k = 3

Hence, value of k is 3.

Therefore, Option (c) is correct.