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fenix001 [56]
4 years ago
9

Factor the trinomial f(x) = 2x² + 5x – 12 ?

Mathematics
1 answer:
gavmur [86]4 years ago
5 0

Answer:

(x + 4)(2x - 3)

Step-by-step explanation:

Given

f(x) = 2x² + 5x - 12

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × -12 = - 24 and sum = + 5

The factors are + 8 and - 3

Use these factors to split the x- term

2x² + 8x - 3x - 12 ( factor the first/second and third/fourth terms )

2x(x + 4) - 3(x + 4) ← factor out (x + 4) from each term

(x + 4)(2x - 3)

Thus

f(x) = 2x² + 5x - 12 = (x + 4)(2x - 3) ← in factored form

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Company X has $128,000 in a saving account that pays 6% interest per year. How much interest will earn at the end of 1/2 year?​
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Hope this helped!

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Elena L [17]

Answer:

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First you need to find how much the markup is in dollars.

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Then you add this to the original cost of the glasses.

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3 years ago
Find all the roots of the equation x4 - 2x3 + 14x2 - 18x + 45 = 0 given that 1 + 2i is one of its roots.
patriot [66]
Asked and answered elsewhere.
brainly.com/question/10192511


Knowing that 1+2i is a root, you also know that 1-2i is a root, so one quadratic factor is
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Long division of the given polynomial by this quadratic gives a quotient of 
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3 years ago
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Lunna [17]

Answer:

=13.73 ft²

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3 years ago
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