Question

# Find the value of *k* if x - 3 is a factor of 5x^{3 }- 2x^{2 }+ x + k.

- 50
60

- - 60
- - 120

60

## The correct answer is: - 120

STEP BY STEP SOLUTION

According to factor theorem, x-a is a factor of p(x) if p(a) = 0.

Here, it is given that x - 3 is a factor of 5x^{3 }- 2x^{2 }+ x + k.

Therefore, p(3) must be equal to zero.

p(3) = 5(3)^{3 }- 2(3)^{2 }+ 3 + k = 0

Therefore, 5(27) – 2(9) + 3 + k = 0

135 – 18 + 3 + k=0

120 + k = 0

Therefore, k= -120

^{3 }- 2x

^{2 }+ x + k.

p(3) = 5(3)

^{3 }- 2(3)

^{2 }+ 3 + k = 0

120 + k = 0

Therefore, k= -120

### Related Questions to study

### What is the value of *n*, if the coefficients of the second term of (x – y)^{3} is equal to the third term of the expansion (x + y)^{n}?

### What is the value of *n*, if the coefficients of the second term of (x – y)^{3} is equal to the third term of the expansion (x + y)^{n}?

Find the 7^{th} term.

Find the 7^{th} term.

### The degree of the polynomial 8 is ___________.

### The degree of the polynomial 8 is ___________.

Expand.

Expand.

### Find the 4^{th} term of the binomial expansion of .

### Find the 4^{th} term of the binomial expansion of .

### The polynomial which has only one term is called ___________.

### The polynomial which has only one term is called ___________.

Find the 4^{th} term.

Find the 4^{th} term.

The polynomial which has two terms is called ___________.

The polynomial which has two terms is called ___________.

Expand.

Expand.

### Find the 12^{th} term.

### Find the 12^{th} term.

What is the expansion of (x + y)^{1000}?

What is the expansion of (x + y)^{1000}?