Divide: 5x⁴-4x³+3x²-2x+1 by x-1
Answers
Answer:
Brainiest me
Step-by-step explanation:
(((((5•(x4))-(4•(x3)))+3x2)-2x)+x)-1
(((((5•(x4))-22x3)+3x2)-2x)+x)-1
((((5x4 - 22x3) + 3x2) - 2x) + x) - 1
4.1 Find roots (zeroes) of : F(x) = 5x4-4x3+3x2-x-1
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above-mentioned tools. It would only find Rational Roots that are numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 5 and the Trailing Constant is -1.
The factor(s) are:
of the Leading Coefficient: 1,5
of the Trailing Constant: 1
Let us test...
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 12.00
-1 5 -0.20 -0.64
1 1 1.00 2.00
1 5 0.20 -1.10
Final result: 5x4 - 4x3 + 3x2 - x - 1