Factor completely 21x3 + 35x2 + 9x + 15. (3x − 5)(7x2 − 3) (3x − 5)(7x2 + 3) (3x + 5)(7x2 − 3) (3x + 5)(7x2 + 3)

(7x^2+3)( 3x+5)

Step-by-step explanation:

21x^3 + 35x^2 + 9x + 15.

We will do factor by grouping

Rearranging the terms so I have the terms with a factor of 3 first and 5 last

Factor a 3x from the first two terms and 5 from the last two terms

21x^3  + 9x + 35x^2+ 15

3x(7x^2 +3) +5(7x^2+3)

Now factor out a (7x^2+3)

(7x^2+3)( 3x+5)

Cubic = (3x + 5)(7x^2 + 3)

Step-by-step explanation:

If you make up two groups of 2, you might be able to factor this using the distributive property. Let's try it.

First group: 21x^3 +  35x^2          Take out 7x^2 as a common fact

First group: 7x^2(3x + 5)

Second group: 9x + 15                  The HCF is 3

Second group: 3(3x + 5)

Now put your factors together in one long string.

Cubic = group 1 + group 2

Cubic = 7x^2 (3x + 5) + 3(3x + 5)

Note: If you had something like 7x^2 * y + 3 *y then you should see that the factors are y* (7x^2 + 3). So to solve the cubic, you should observe that (3x + 5) is a common factor.

Let y = 3x + 5

y(7x^2 + 3)   Now substitute back for the y.

Cubic = (3x + 5)(7x^2 + 3)

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier