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Is (x-2) a factor of 2x^4 - 3x^3 +4x^2 + x +2?

Is X2 A Factor Of 2x4 3x3 4x2 X 2 class=

Sagot :

Answer:

No

Step-by-step explanation:

If (x - h) is a factor of f(x) then f(h) = 0

Here

f(x) = 2[tex]x^{4}[/tex] - 3x³ + 4x² + x + 2 and

if divisor (x - 2) is a factor the f(2) = 0

f(2) = 2[tex](2)^{4}[/tex] - 3(2)³ + 4(2)² + 2 + 2

     = 2(16) - 3(8) + 4(4) + 4

    = 32 - 24 + 16 + 4

    = 28 ≠ 0

Then (x - 2) is not a factor of the polynomial

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