Math, asked by abhi4983, 9 hours ago

If f(x) = x4 -4x3 +3x2 -2x+1, then find whether f(0) X f(-1)=f(2)
i am giving 100 points and brainliest answer on correct answer​

Answers

Answered by Anonymous
1

 \red{ \qquad \underline{ \pmb{{ \mathbb{ \maltese  \:  COMPLETE \:  \:  QUESTION  \:   \maltese }}}}}

  • If f(x) = x4 -4x3 +3x2 -2x+1, then find whether f(0) X f(-1)=f(2)

\Large\green{\qquad\underline{\pmb{{ \mathbb { \maltese  \:  GIVEN \:   \maltese }}}}}

{F(x) = x⁴ - 4x³ + 3x² - 2x +1}

  \Large \orange{\qquad \underline{ \pmb{{ \mathbb{ \maltese  \:SOLUTION  \:   \maltese }}}}}

f(0) × f(-1) = f(2)

♦ f(0) :-

{f(0) = 0⁴ - 4×0³ + 3(0)² - 2(0) + 1}

f(0) = 0 - 0 + 0 - 0 + 1

f(0) = 1

♦ f(-1) :-

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

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

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

f(-1) = 11

♦ f(0) × f(-1) :-

{f(0) × f(-1) = 1 × 11 = 11 ..eq(1)}

♦ f(2) :-

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

f(2) = 16 - 32 + 12 - 4 + 1

f(2) = - 16 + 9

f(2) = -7

 \purple{\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese  \:  REQUIRED  \:  \: INFO \:   \maltese }}}}}

f(0) × f(-1) ≠ f(2)

 \large \mathfrak{ \text{W}e \:   \text{K}now }

Because ,

11 ≠ -7

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\huge\boxed{\dag\sf\red{Thanks}\dag}

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