Can someone explain #1 and #2 to me? (Picture above) I really need help

Mathematics

1 answer:

Charra [1.4K]2 years ago

5 0

A number can replaced with a variable like x
(X+3)4=16
4x+12=16
4x=4
X=1
(X/4)+3=24
X/4=21
X=84

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Use synthetic division to perform the indicate division. Write the poly nominal in the form p(x) = d(x)q(x) + r(x)

Mrrafil [7]

ANSWER

$\frac{3 {x}^{2} - 2x + 1 } {x - 1 } = 3x + 1 + \frac{2}{x - 1}$

EXPLANATION

The given function is

$\frac{3 {x}^{2} - 2x + 1 } {x - 1 }$

The synthetic division is shown in the attachment.

The Remainnder is 2.

The quotient is

$3x + 1$

Therefore

$\frac{3 {x}^{2} - 2x + 1 } {x - 1 } = 3x + 1 +\frac{2}{x - 1}$