Which expression represents -8x2 + 54x + 140 in factored form?

Mathematics

2 answers:

nexus9112 [7]3 years ago

8 0

First you can factor out a -2 from the original expression
-2(4x²-27x-70)
Then, use any method you're familiar with to factor (4x²-27x-70)= (x+2)(4x-35) ***

***I used the "AC method" Let me know if you'd like me to explain this part

So the expression -2(x+2)(4x-35) is the same as the original

stich3 [128]3 years ago

3 0

Answer choices included here^

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the sum of the reciprocals of two consecutive even integers is 9/40. this can be represented by the equation shown 1/x + 1/(x+2)

Ivanshal [37]

Answer:

8, 10

Step-by-step explanation:

Multiplying the equation by the product of the denominators, we have ...

40(x+2) +40x = 9x(x+2)

80x +80 = 9x^2 +18x . . . . eliminate parentheses

9x^2 -62x -80 = 0 . . . . . . put in standard form

9x^2 -72x +10x -80 = 0 . . . prepare to factor by grouping

9x(x -8) +10(x -8) = 0 . . . . . factor pairs of terms

(9x +10)(x -8) = 0

Solutions are ...

x = -10/9 and x = 8

The integers are 8 and 10.

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<em>Comment on the attachment</em>

I find a graphing calculator to be a nice tool for solving these. It finds zeros easily, so writing the equation so it equals zero is a useful first step.