1. Consider P(x) = x3 + 8x2 + 17x + 10.
a. List the integer divisors of 1, the leading coefficient (d).
b. List the integer divisors of 10, the constant term (c).
c. Give all the possible ratios of a divisor of 10 to a divisor of 1, which is ).
d. Find a root of P(x) = 0 from the rational numbers obtained in letter c.
e. Use synthetic division to find the remaining factors.
f. Give the three roots of the equation.
g. Write P(x) as a product of linear factors.
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Answers
Answered by
4
Answer:
P(x) = x3 + 8x2 + 17x + 10.
Step-by-step explanation:
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Answered by
2
Answer:
The roots of the equation are -1, -5 and -2.
Step-by-step explanation:
Given the polynomial
a) Integer divisors of 1 are 1 and -1.
b) Integer divisors of 10 are 1,-1,2,-2,5,-5,10 and -10.
c) All possible ratios of a divisor of 10 to a divisor of 1 are 1,-1,2,-2,5,-5,10 and -10.
d) We can now find a root of from the above set of numbers.
.
So is root of the given polynomial.
e) Now using synthetic division, we get
f) Roots of the equation are
g)
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