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Svetllana [295]
3 years ago
5

Need some math help!!! Factor the polynomial by grouping: 12p^3 − 21 p^2 + 28p − 49

Mathematics
2 answers:
Andru [333]3 years ago
8 0

Answer:

\left(4p-7\right)\left(3p^2+7\right)

Step-by-step explanation:

12p^3-21p^2+28p-49

\left(12p^3-21p^2\right)+\left(28p-49\right)

7\left(4p-7\right)

3p^2\left(4p-7\right)

7\left(4p-7\right)+3p^2\left(4p-7\right)

\left(4p-7\right)\left(3p^2+7\right)

yan [13]3 years ago
8 0
12p³ – 21p² + 28p – 49

3p²(4p–7) + 7(4p–7)

(4p–7)(3p+7)
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Hey there!

y = -2x + 19
y = x + 7

We gonna solve this system of equation by using the substitution method.

We wanna solve y = -2x + 19 for y

Let start by substitute -2x + 19 for y in y = x + 7

y = x + 7
-2x + 19 = x + 7

Subtract x from both sides

-2x + 19 - x = x + 7 - x

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Now subtract 19 on both sides

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Then divide both sides by -3

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x = 4

We have the value of x. Now we gonna use that same value to find the value for y.

We gonna do that by substitute 4 for x in y = -2x + 19

y = -2x + 19

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Thus,

The answer is: x = 4 and y = 11

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