Given:
The expression is:
It leaves the same remainder when divided by x -2 or by x+1.
To prove:
Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:
It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting 
in the given polynomial.
Substituting 
in the given polynomial.
Now, substitute the values of P(2) and P(-1) in (i), we get
Divide both sides by 3.
Hence proved.
Answer:
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Step-by-step explanation:
Give examples to explain the properties of real numbers
Property (a, b and c are real numbers, variables or algebraic expressions)Examples8.Additive Inverse Property a + (-a) = 04 + (-4) = 09.Multiplicative Inverse Property10.Zero Property of Multiplication a • 0 = 04 • 0 = 011.Closure Property of Addition a + b is a real number10 + 5 = 15 (a real number)
Hi there! The answer is 10 miles.
Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )
We end up with the following equation
Subtract 5 from both sides.
Divide both sides by 10.
Therefore, Emma had a taxi ride of 10 miles.
DF =DE + EF
4x-8 = x-4 + 2x+5
4x - 8 = 3x + 1
4x - 3x = 1 + 8
x = 9
