5 times the sum of p and r A.5(p+r) B.5p+r C.5pr D.5+p+r
2 answers:
<h2>Answer:</h2>
Option: A is the correct answer.
The mathematical representation of the given statement is:
We are asked to represent the given expression in words to numerical expression.
The statement is:
5 times the sum of p and r
The sum of p and r is: (p+r)
and now 5 times the sum of p and r i.e. 5 is multiplied to the sum of p and r.
i.e.
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Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± = ± i