Question

Find p(2) – p(1) if 2x3-9x2+3x-1​

Answer 1

p(2) - p(1) = -10

Step-by-step explanation:

Given polynomial → 2x³ - 9x² + 3x - 1

Let us consider this polynomial as p(x). So,

 p(x) = 2x³ - 9x² + 3x - 1

For finding p(2) and p(1), substitute the value of x as 2 and 1 respectively.

⇒ p(2) = 2(2)³ - 9(2)² + 3(2) - 1

⇒ p(2) = 16 - 36 + 6 - 1

⇒ p(2) = 21 - 36

⇒ p(2) = - 15

For finding p(1)

p(1) = 2(1)³ - 9(1)² + 3(1) - 1

⇒ p(1) = 2 - 9 + 3 - 1

⇒ p(1) = 4 - 9

⇒ p(1) = -5

Now, p(2) - p(1)

→ -15 - (-5)

→ -15 + 5

→ -10

∴ p(2) - p(1) = - 10 $\:$

Answer 2

Answer:

12

Step-by-step explanation:

p(2) - p(1) = p (1)

p(1) = 2(1) 3-9(1)2+3(1)-1

p(1) = 2+ 6(1) 5-1

p(1) = 8+4

= 12