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vagabundo [1.1K]
3 years ago
11

(a) Resolve into factors: x^4 + 2x^2 + 9​

Mathematics
1 answer:
Eva8 [605]3 years ago
5 0

Answer:(x^2-2x+3) (x^2+2x+3)

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Answer:

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Step-by-step explanation:

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Write a quadratic equation with roots of 3/4 and -4
Vaselesa [24]

A quadratic equation given roots is solved by using the relation

{x}^{2}  - (sum \: of \: roots)x + product \: of \: roots

from the question,

sum of the root will be

\frac{3}{4}  + ( - 4) =  \frac{3}{4}  - 4

=   \frac{3 - 16}{4}

=  \frac{ - 13}{4}

and also, product of the roots will

be

\frac{3}{4}  \times ( - 4) =  - 3

now substituting the sum of roots and product of roots into the equation

{x}^{2}  - ( -  \frac{13}{4} )x - 3

=  {x}^{2}  +  \frac{13}{4} x - 3

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4 0
3 years ago
A rectangle has side lengths 2x + 3 and 5x - 2.
xz_007 [3.2K]

Answer:

10x² + 11x - 6

Step-by-step explanation:

The area (A) is the product of the sides, that is

A = (2x + 3)(5x - 2) ← expand using FOIL

   = 10x² - 4x + 15x - 6 ← collect like terms

   = 10x² + 11x - 6

5 0
3 years ago
Lacie wants to paint her bedroom walls. She has to cover 1,162.5 square feet. About how many gallons of paint will she need?
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I dont really know. you dont know how big the walls are and how far 1 gallon goes so figure how far 1 gallon goes and then divide it by the 1,162.5
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3 years ago
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