Question

Find the value of the polynomial p(x) = x3 – 3x2 – 2x + 6 at x =2.​

Answer 1

Given:-

• P(x) = x³ - 3x² - 2x + 6

• f(x) =x - 2.

To Find:-

• The Value of P(x).

Theorem used:-

• Factor theorem.

Now,

→ f(x) = x - 2 = 0

→ f(x) = x = 2

Putting the value of x in P(x).

→ x³ - 3x² - 2x + 6

→ (2)³ - 3(2)² - 2(2) + 6

→ 8 - 12 - 4 + 6

→ -4 - 4 + 6

→ -8 + 6

→ -2.

Hence, The Value of P(x) is 2.

Q. What is Factor theorem?

→ The Factor theorem is a theorem linking factor and zero of the Polynomial.

Answer 2

Answer:

-2

Step-by-step explanation:

x³-3x²-2x+6

Since X = 2

2³-3X2² - 2X2 + 6

8 - 3 X 4 - 4 + 6

8 - 12 - 4 + 6

14 - 16

= -2