Factor the trinomial step by step & explain 2x^2+ 5x + 3

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

Answer:

One way to factor equation is to find the zeros. Its obvious that x=-1 is solution for this. So one factor is (x+1)

the next factor should include 2x at first (because we have 2x^2 in the equation which can not be made any other way)

Let's suppose the factor is (x+1)(2x+b)

Since we do not know what is b open the brackets 2x^2+bx+2x+b. If this is equal to 2x^2+5x+3 then b=3. We are left with (x+1)(2x+3)=2(x+1)(x+3/2)

Would go for other shorter solutions, but they require some deeper understanding like Horner's scheme,Fermat's Theorem or even deeper which I assume You will not understand)

You might be interested in

6xyz - 4x2 + y2 – 432 + 48

dalvyx [7]

6xyz-4x^2+y^2-384?? i’m pretty sure

4 0

3 years ago

Find the value of k if: (2x − y) 2 − (2x + y) 2 = 4xyk

Kruka [31]

(2x−y)(2)−(2x+y)(2)=4xyk

4kxy = -4y

4kxy/4xy = -4/4xy

k = -1/x

5 0

3 years ago

Give one example of when would use the friendly numbers strategy to substract. Explain why

Andrei [34K]

Here is one example of when you would use the friendly number strategy to subtract.
42 - 18

We will turn the 18 into a friendly number, which is going to be 20.

(42 + 2) - (18 + 3)
44 - 20
Now it is easier to subtract 44 - 20 than it is 42 -18. With 42 - 18 we would have to barrow whereas with 44 -20 we do not have to barrow and we can do it in our head easier and makes it faster.

6 0

3 years ago

Which is the graph of f(x)=3(2/3)x?

anyanavicka [17]

we have that

$f(x)=3(\frac{2}{3})^{x}$