Answer :
Answer:
By finding the roots we can rewrite our quadratic equation as:
3x² + 10x + 8 = 3*(x + 4/3)*(x + 2)
How to factorize the expression?
Here we have a quadratic function which is:
3x² + 6x + 4x + 8
To factorize this we need to simplify it first, we can add the two middle terms because these have the same power of x:
3x² + 6x + 4x + 8 = 3x² + 10x + 8
Now we need to find the zeros, to do so we need to solve:
3x² + 10x + 8 = 0
And using the quadratic formula we will get:
=
−
10
±
1
0
2
−
4
∗
3
∗
8
2
∗
3
=
−
10
±
2
6
x=
2∗3
−10±
10
2
−4∗3∗8
x=
6
−10±2
Then the roots are:
x = (-10 - 2)/6 = -2
x = (-10 + 2)/6 = -8/6 = -4/3
Then we can factorize the quadratic as:
3x² + 10x + 8 = 3*(x + 4/3)*(x + 2)
Learn more about quadratic equations at:
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