Find all real roots of the following equations. Next, write each polynomial on the left side of the equation in factored form. Show your complete solutions. 3pts each.
1pt = lists of possible values of roots in the form of p/q
1pt = polynomial in the factored form
1pt = real roots/zeros of polynomial
1. x3 – 10x2 + 32x – 32 = 0
2. x4 + 2x3 - 9x2 – 2x + 8 = 0
3. 2x3 - x2 - 8x + 4 = 0
1pt = lists of possible values of roots in the form of p/q
1pt = polynomial in the factored form
1pt = real roots/zeros of polynomial
1. x3 – 10x2 + 32x – 32 = 0
2. x4 + 2x3 - 9x2 – 2x + 8 = 0
3. 2x3 - x2 - 8x + 4 = 0
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Answer:
1. Real roots:
X1 = 2
X2 = 4
2. Real roots:
X1 = 1
X2 = 2
X3 = -4
X4 = -1
3. Real roots:
X1 = 1/2
X2 = -2
X3 = 2
Step-by-step explanation:
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