I need help. how do i completely factor 6x^2+7x+2 with an explanation?

Mathematics

1 answer:

AnnZ [28]2 years ago

6 0

Answer:

(2x + 1)(3x + 2)

Step-by-step explanation:

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

product = 6 × 2 = 12 and sum = 7

The factors are + 3 and + 4

Use these factors to split the x- term

= 6x² + 3x + 4x + 2 ( factor the first/second and third/fourth terms )

= 3x(2x + 1) + 2(2x + 1) ← factor out (2x + 1) from each term

= (2x + 1)(3x + 2) ← in factored form

You might be interested in

Solve for the missing angles and side lengths A= 20 degrees, b=4 a = 4.5 Find the measure of C

Reil [10]

Answer:

Its 142

Step-by-step explanation:

Theres a website called triangle calculator and you put in three things wether its SSA or ASA or whatever and it gives you all the measurements. Good luck on your quizzes and tests :)

6 0

3 years ago

-19-5/4v is less than or equal too -14

Nesterboy [21]

Answer:

−20.25

Step-by-step explanation:

5 0

3 years ago

Lucia is not yet 80 years old. each of her sons has as many sons as brothers. the combined number of lucias sons and grandsons e

Ne4ueva [31]

Not enough Information. I could say 50 and it would work. I could say 68 and it would work. Any even number thats under 80 but higher than what you think her eldest son is.

7 0

3 years ago

Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.

kipiarov [429]

Answer:

$3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}$