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Nitella [24]
3 years ago
8

X^3 + 3x^2 -10x factor polynomial and find zero​

Mathematics
2 answers:
Fantom [35]3 years ago
7 0

Answer:

  1. x(x - 2)(x + 5)
  2. x = 0, x = 2, x = -5

Step-by-step explanation:

x^3 + 3x^2 - 10x

~Factor

x(x - 2)(x + 5)

Solve for the zero.

x(x - 2)(x + 5) = 0

We know that; x = 0, x - 2 = 0, and x + 5 = 0

x = 0

x - 2 = 0

x = 2

x + 5 = 0

x = -5

Best of Luck!

Rudiy273 years ago
3 0

Here we are provided with an polynomial of degree 3 and we have to factorise it first and then we have to compute it's zeroes.

Given Polynomial:

  • x³ + 3x² - 10x

Taking common x from all the 3 terms,

➝ x(x² + 3x - 10)

Factorising through Middle term factorisation,

➝ x(x² + 5x - 2x - 10)

➝ x{x(x + 5) - 2(x + 5)}

➝ x(x - 2)(x + 5)

Hence, Factorised !!

Now equating to 0 to find the zeroes of the poly.

➝ x(x - 2)(x + 5) = 0

That means,

  • x = 0
  • x - 2 = 0
  • x + 5 = 0

So, the zeroes of the polynomial is 0, 2 or -5

And we are done....

Carry On Learning !

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Answer:

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Step-by-step explanation:

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Let x be the exact amount of money in my pocket, we can define the equation

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Using the definition of absolute value we have

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2 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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3 years ago
Solve the following quadratic by factoring.
Lina20 [59]

Answer:

4, -1

Step-by-step explanation:

We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

x^2 - 3x - 4 = 0

Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

(x + or - ?) ( x + or - ?) = 0

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To test that this is equal to the original equation, simply multiply it out using FOIL.

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Putting each component into an equation:

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Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)

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salantis [7]

Answer:

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Step-by-step explanation:

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