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larisa [96]
3 years ago
15

Please help! BRAINLIEST to correct answer!

Mathematics
2 answers:
Nostrana [21]3 years ago
8 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

2 {x}^{3}  + 2 {x}^{2}  - 40x =

2x( {x}^{2}  + x - 20) =

2x(x  - 4)(x + 5)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( a )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Softa [21]3 years ago
5 0

The first option is the correct one.

2  {x}^{3}  + 2 {x}^{2}  - 40x

2x( {x}^{2}  + x - 20)

2x(x  -  4)(x  + 5)

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If p(x)=x^3-3x^2-x+3 and p(3)=0, what is a factor of p(x)
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<h3>Answer:   x-3</h3>

Since p(3) = 0, this means x = 3 plugs into p(x) to get 0

We can write p(x) as p(x) = (x-3)q(x) where q(x) is some other polynomial that multiplies with (x-3) to lead to x^3-3x^2-x+3

Let's plug in x = 3 and see what happens

p(x) = (x-3)q(x)

p(3) = (3-3)q(3)

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The general rule is: if p(k) = 0, then x-k is a factor of p(x). This is a special case of the remainder theorem.

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