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Factoring Questions

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119
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1. 72n^2 + 570n + 875

2. 300p^2 - 595p + 294

I was told I was supposed to use a "5-step method" to solve these but I don't remember what it was other than the first step: a/2

Feb 11, 2021

#1
+11656
+1

Factoring Questions

1. 72n^2 + 570n + 875

2. 300p^2 - 595p + 294

Hello Guest!

1.

$$72n^2 + 570n + 875=0$$

$$n = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

$$n =\dfrac{-570 \pm \sqrt{570^2-4\cdot 72\cdot 875}}{2\cdot 72}$$

$$n =\dfrac{-570 \pm 270}{2\cdot 72}$$

$$n\in\{2.08\overline 3,-5.8\overline 3\}$$

$$72n^2 + 570n + 875=(n+5.8\overline 3)(n-2.08\overline 3)$$

2.

$$300p^2 - 595p + 294=0$$

$$p = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

$$p =\dfrac{595 \pm \sqrt{595^2-4\cdot 300\cdot 294}}{2\cdot 300}$$

$$p =\dfrac{595 \pm 35}{2\cdot 300}$$

$$p\in\{1.05,0.9\overline 3\}$$

$$300p^2 - 595p + 294=(p-1.05)(p-0.9\overline 3)$$

!

Feb 11, 2021
edited by asinus  Feb 12, 2021
#2
+1

I'm trying to factor it, it would be great if you could help!

Guest Feb 11, 2021
#3
+11656
0