Find p(2) – p(1) if 2x3-9x2+3x-1
Answers
Answered by
0
Answer:
3-9+3x-1
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Answered by
10
Answer:
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
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