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Nitella [24]
2 years ago
8

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

Mathematics
2 answers:
Fantom [35]2 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!

Rudiy272 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:

\huge\boxed{\bf\:5}

Step-by-step explanation:

Polynomial = x^{2} (1 - x^{3}).

Before determining the degree of the polynomial, let's open the parentheses using the distributive property .

x^{2} (1 - x^{3})\\=\underline {x^{2} - x^{5}}

Degree is the highest exponential power in a polynomial  .

So, the degree of the given polynomial is 5.

\rule{150pt}{2pt}

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1 year ago
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2\sqrt{13}

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Use the distance formula and plug in the values

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6 0
2 years ago
(05.04 MC) An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of th
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we know that

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5 0
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6 0
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Leto [7]

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