Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?

Mathematics

2 answers:

Maru [420]3 years ago

5 0

Answer: The answer is B my friend

Step-by-step explanation:

Lelu [443]3 years ago

4 0

We can group the expression x³ + 4x² + 5x + 20 as (x³ + 4x²) + (5x + 20). We have factor out the common factors and have (x³ + 4x²) + (5x + 20) x²(x + 4) + 5(x + 4) From this, we have x³ + 4x² + 5x + 20 = x²(x + 4) + 5(x + 4). And thus, the answer is <span>B.</span>

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What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction

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By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is $\frac{5y_2+y_1}{6}$

<h3>What is section formula ?</h3>

Let point P(x,y) cuts line joining point $A(x_1,y_1)$ and $B(x_2,y_2)$ in $m_1:m_2$ then coordinate of point P is equal to $(\frac{m_1x_2+m_2x_1}{m_1+m_2}, \frac{m_1y_2+m_2y_1}{m_1+m_2})$

Here given that point divides line segment from J to K into a ratio 5:1

$m_1=5\\\\m_2=1$

Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1

We can calculated y coordinate by applying section formula as :

$\frac{5y_2+1y_1}{5+1}\\\\\frac{5y_2+y_1}{6}$

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is $\frac{5y_2+y_1}{6}$

To learn more about section formula visit:brainly.com/question/26433769

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