17-
Quotient: 6x+2
Remainder: 20/x^2+3 (20 over x to the power of 2 plus 3)
18-
Quotient: x^2+3 (x to the power of 2 plus 3)
Remainder: 6/4x^2+2 (6 over 4 x to the power of 2 plus 2)
The factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)
<h3>How to determine the factors?</h3>
The expression is given as:
x^3 + 4x^2 +5x + 20
Group the expression into two
(x^3 + 4x^2) + (5x + 20)
Factorize each group
x^2(x + 4) + 5(x + 4)
Factor out x + 4
(x^2 + 5)(x + 4)
Hence, the factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)
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The distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .
The distributive law of multiplication over basic arithmetic such as addition and subtraction is known as distributive property .
According to this property , multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the no . and then adding the products together .
In other words, according to the distributive property, an expression of the form A ( B + C ) can be solved as A ( B + C ) = AB + AC.
2 ( 6 + 12 ) = 12 + 24 .
Hence , the distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .
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Answer:
Step-by-step explanation: