Question

(3x³ – 8x + 5) by (x-1) long division method

Answer 1

Answer:

3x4 + 8x² + 5x - 3x³ - 8x + 5

Step-by-step explanation:

x - 1 will be multiplied 3x³ - 8x + 5

Answer 2

Step-by-step explanation:

3x

2

+3x−5

Step-by-step explanation:

\begin{gathered}3x^{2} + 3x - 5\\= \frac{3x {}^{3} - 3x^{2} + 3x^{2} - 3x - 5x + 5}{x - 1}\\ = \frac{3x {}^{2} \times(x - 1) + 3x \times(x - 1) - 5(x - 1) }{x - 1}\\ = \frac{(x - 1) \times(3x^{2} + 3x - 5) }{(x - 1)}\\=3x^{2} + 3x - 5\end{gathered}

3x

2

+3x−5

=

x−1

3x

3

−3x

2

+3x

2

−3x−5x+5

=

x−1

3x

2

×(x−1)+3x×(x−1)−5(x−1)

=

(x−1)

(x−1)×(3x

2

+3x−5)

=3x

2

+3x−5

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