Factorise by using factor Factor Theorem x⁴-6x³ +13x² -12x+4

1.	Factorise by using factor Factor Theorem x⁴-6x³ +13x² -12x+4
Answer» <html><body><p>For the remainder theorem we generally use synthetic division. If (x+2) is a factor of P(x) then x=-2 will be a zero of P(x) we have P(x) = 2x2-3x+4 The coefficients in descending order from the variable with the highest exponent to the constant are 2, -3, 4 Write the -2 on the left with a diagonal <a href="https://interviewquestions.tuteehub.com/tag/separating-7268950" style="font-weight:bold;" target="_blank" title="Click to know more about SEPARATING">SEPARATING</a> it from the coefficients: -2 / 2 -3 4 <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)bring down the first coefficient (2) -4 <a href="https://interviewquestions.tuteehub.com/tag/14-272882" style="font-weight:bold;" target="_blank" title="Click to know more about 14">14</a> 2)multiply that by the -2 giving -4 3)bring that product up under the next coefficient 2 -7 18 add down 4 Repeat to the end. Last number is the remainder The remainder is 18. The remainder theorem says that <a href="https://interviewquestions.tuteehub.com/tag/f-455800" style="font-weight:bold;" target="_blank" title="Click to know more about F">F</a>(-2) The polynomial we get when we divide is (2x2 -3x+4)/(x+2)= 2x-7+ 18/(x+2) Step-by-step explanation:</p></body></html>

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