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3 years ago

Factorize completely 2x^2+4x-6

Mathematics

2 answers:

rodikova [14]3 years ago

6 0

Answer:

Solution given;

2x²+4x-6

2x²+6x-2x-6

2x(x+3)-2(x+3)

(x+3)(2x-2)

is your answer

andreyandreev [35.5K]3 years ago

5 0

Answer:

2(x + 3)(x - 1)

Step-by-step explanation:

Given

2x² + 4x - 6 ← factor out 2 from each term

= 2(x² + 2x - 3) ← factor the quadratic

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) , so

2x² + 4x - 6 = 2(x + 3)(x - 1) ← in factored form

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Makaila read 44 pages of her book yesterday and 2/3 of the book today. If she read a total of 200 pages in the past two days how

pogonyaev

Answer:

Total number of pages in the book is 234.

Step-by-step explanation:

Let us assume that the total number of pages in the book = x

Now, it is given that Makaila read 44 pages yesterday.

Also, Makaila read two-third of the book today. As we have assumed that, there are a total of x number of pages in the book, so we can say that Makaila read two-third of x number of pages today.

Number of pages read by Makaila today = $\frac{2}{3}\;of\;x=\frac{2}{3}\times\;x=\frac{2x}{3}$

Now, it is also given that, Makaila read a total of 200 pages in the past two days.

∴ according to question,

Pages read yesterday + Pages read today = 200

⇒ $44+\frac{22x}{3}=200$

⇒ $\frac{44\times3+2x}{3}=200$

⇒ $\frac{132+2x}{3}=200$

⇒ $132+2x=200\times3\;\;\;\;\;\;\;\;\;[On\;cross-multiplying]$

⇒ $132+2x=600$

⇒ $2x=600-132$

⇒ $2x=468$

⇒ $x=\frac{468}{2}=234$

∴ Total number of pages in the book = x = 234

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