Question

If f(x) = x^4 - 4x^3 + 3x^2 -2x+1,then find whether f(0)x f(-1)=f(2).

Answer 1

$\textbf{\underline{Answer :}}$

Given,

f (x) = x⁴ - 4x³ + 3x² - 2x + 1

⇒ f (0) = 0⁴ - 4(0)³ + 3(0)² - 2(0) + 1

⇒ $\fbox{f (0) = 1}$

f (-1) = (- 1)⁴ - 4(- 1)³+ 3(- 1)² - 2(- 1) + 1

⇒ f (- 1) = 1 + 4 + 3 + 2 + 1

⇒ $\fbox{f (- 1) = 11}$

Now, f (2) = 2⁴ -4(2)³ + 3(2)² - 2(2) +1

⇒ f (2) = 16 - 32 + 12 - 4 + 1

⇒ $\fbox{f (2) = 7}$

Hence, f (0) × f (- 1)

= 1 × 11

= 11

≠ f (2)

#$\textbf{MarkAsBrainliest}$

Answer 2

Answer:

Step-by-step explanation:

Given,

f (x) = x⁴ - 4x³ + 3x² - 2x + 1

⇒ f (0) = 0⁴ - 4(0)³ + 3(0)² - 2(0) + 1

⇒

f (-1) = (- 1)⁴ - 4(- 1)³+ 3(- 1)² - 2(- 1) + 1

⇒ f (- 1) = 1 + 4 + 3 + 2 + 1

⇒

Now, f (2) = 2⁴ -4(2)³ + 3(2)² - 2(2) +1

⇒ f (2) = 16 - 32 + 12 - 4 + 1

⇒

Hence, f (0) × f (- 1)

= 1 × 11

= 11

≠ f (2)

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