All categories

3 years ago

How is factoring a trinomial different than factoring a number?

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

Answer:

Hope this answers the question.

Step-by-step explanation:

Factoring a number: If you use the number 10, for example, you have to find all the factors to factor it. 1, 2, 5, 10.

Factoring a trinomial: If you use the trinomial x^2 + 16 + 64, for example, to factor it you need to first find what numbers multiply up to 64 and also add up to 16. In this case, those numbers are 8, and so you get (x + 8)^2.

You might be interested in

A train is traveling at a constant speed. The diagram represents the train's distance and time. What is the speed of the train?

Over [174]

240÷6=40 so the answer would be "The train is traveling 40 miles per hour."

6 0

3 years ago

Read 2 more answers

Find all solutions to x³+3x² − 9x − 27 = 0 by factoring the equation.

SCORPION-xisa [38]

Answer:

The solutions are $x=-3,\:x=3$

Step-by-step explanation:

To factor this cubic polynomial $x^3+3x^2-9x-27$ you must:

Group the polynomial into two sections

$x^3+3x^2-9x-27=\left(x^3+3x^2\right)+\left(-9x-27\right)$

Factor out -9 from $(-9x-27)$

$(-9x-27)=-9\left(x+3\right)$

Factor out $x^2$ from $(x^3+3x^2)$

$(x^3+3x^2)=x^2\left(x+3\right)$

$x^3+3x^2-9x-27=-9\left(x+3\right)+x^2\left(x+3\right)$

Factor out common term $x+3$

$-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)$

$x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)$

Factor $x^2-9$

$x^2-9=\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0$

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

$x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}$

The solutions are

$x=-3,\:x=3$

3 0

3 years ago

Help me please<br> 3x+12=?

Ad libitum [116K]

Answer:

<h2>3x+12=0</h2><h2>3x=0-12</h2><h2>x=-12/3</h2><h2>hence x=(-4)</h2><h3>✌️✌️ HOPE IT HELPS</h3>

6 0

2 years ago

Read 2 more answers

All the dimensions of a pentagon were multiplied by the same factor, and area of the figure changed by a factor if 25. By what f

Oksana_A [137]

Answer:

Step-by-step explanation:

You add the 25 + another 25 and that adds up to 50. Hope this helps!

4 0

2 years ago

Mr. Voelz estimates that he will spend $10 on concessions at the basketball game. He actually spends $15. What is the percent er

irina [24]

Answer:

I am not sure but if you divide those 2 numbers such as dividing 10 by 15 you will get 0.666666666667 but if you round it you will have 67%

Step-by-step explanation:

Plz mark Brainliest

5 0

3 years ago