All categories

2 years ago

Factor Polynomial 3y^2+y-14

Mathematics

1 answer:

iris [78.8K]2 years ago

4 0

Answer:

Factored Form: ( y - 2 )( 3y + 7 )

Step-by-step explanation:

1. Let us first write down the problem at hand: 3y^2 + y - 14

2. Now let us break this expression into groups:

3y^2 - 6y + 7y - 14 ⇒ ( 3y^2 - 6y )( 7y - 14 )

3. Factor 3y from 3y^2 - 6y:

3y^2 - 6y ⇒ 3y( y - 2 )

4. Factor 7 from 7y - 14:

7y - 14 ⇒ 7( y - 2 )

5. Substitute Step #3, 4 ⇒ Step #2:

3y( y - 2 ) + 7( y - 2 )

6. Factor common term y - 2:

Answer: ( y - 2 )( 3y + 7 )

You might be interested in

For each reaction between a ketone and an amine, draw the curved arrow(s) to show the first step of the mechanism, then draw the

Ray Of Light [21]

Answer:

Step-by-step explanation:

Aromatic amine is generally less nucleophilic than aliphatic amine because of the aromatic delocalisation of the lone pair. Ketones are also less reactive compared to aldehyde and Reaction between aromatic amine and aromatic ketone is possible leading to the formation of Schiff's base in aqeous ethanoic solution.

6 0

2 years ago

What is the measure of angle WZX?

Aleksandr [31]

I hate Time4Learning. I took that back in middle school.

Here's how these expressions work together. First, you need to remember WZY is a right angle (90 degrees). Now, keep that in mind when we add both equation.

3c + 2c + 2 - 7 = 90

5c - 5 = 90

5c - 5 + 5 = 90 + 5

5c = 95

5c/5 = 95/5

c = 19. Now, put 19 in the place of c and solve.

3(19) + 2 = 57 + 2 =

59 degrees.

The measurement of angle WZX is equal to 59 degrees, B.

8 0

2 years ago

Hurricane Katrina dropped about 14 inches of rain over a 48!hour period

asambeis [7]

3.4 inches per hour. because to solve ypu would dive 48 by 14 to get your answer.

8 0

2 years ago

Analyze the graph below to identify the key features of the logarithmic function. The x-intercept is y = 2, and the graph approa

Mamont248 [21]

Answer:

The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.

Step-by-step explanation:

The given graph is a transformed logarithm function.

The graph is obtained by shifting the parent function three units left.

The vertical asymptote is now

$x = - 3$

The x-intercept is where the graph intersect the x-axis, which is x=-2

Therefore the last option is correct.

7 0

2 years ago

Is 5/12 greater than or less than 3/6?

Advocard [28]

5/12 is less than 3/6.

8 0

2 years ago