Factor completely 2n^2+3n-9

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

7 0

The answer is
(2n-3)(n+3)

i hope this helps :)

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The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

Contact [7]

Answer:

Yes it can

Step-by-step explanation:

To check wether it's a right angle triangle we need to apply the Pythagoras theorem

h^2= a^2 +b^2

Hypotenuse is always the longest side so

5^2 = 3^2 + 4^2

This is correct, so the triangle is a right angle triangle

Answer from Gauthmath

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3 years ago

A function is shown in the table.

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Given:
x g(x)
−3 17
−1 −3
0 −4
2 13

The true statement for the given function is:
The function is decreasing from x = −3 to x = −1.

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2 years ago

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Form a polynomial function(x) with zeros: -2, multiplicity 1; 1, multiplicity 2; 5, multiplicity 3; and degree 6. Use 1 as the l

Citrus2011 [14]

Answer:

Remember, a number a is a zero of the polynomial p(x) if p(a)=0. And a has multiplicity n if the factor (x-a) appear n times in the factorization of p(x).

1. Since -2 is a zero with multiplicity 1, then (x+2) is a factor of the polynomial.

2. Since 1 is a zero with multiplicity 2, then (x-1) is a factor of the polynomial and appear 2 times.

3. Since 5 is a zero with multiplicity 3, then (x-5) is a factor of the polynomial and appear 3 times.

Then, the polynomial function with the zeros described above is

$p(x)=(x+2)(x-1)^2(x-5)^3= x^6-15x^5+72x^4-78x^3-255x^2+525x-250$