Answer:
(3x+1) (x+2)
4x^2 + 30x - 25
Step-by-step explanation:
To find the correct factorization for each polynomial, we have to try out different factors until we arrive at the correct middle term. We can also rule out different combinations along the way.
For Question A:
The factors of the leading coefficient are 3 and 1, while the factors of the constant are 2 and 1. Since we need to find a huge number, we need to multiply the other two large number. This is why we need to place them as outer numbers.
3x^2 + 7x + 2 = (3x+1) (x+2)
For Question B:
We can't simplify the polynomial further, but we can write the factored form using its roots.
Using the Quadratic Formula, we get:
[tex]x = \frac{ - 15± 5\sqrt{13} }{4} [/tex]
Thus, the simplified polynomial is:
[tex](x - \frac{15 + 5 \sqrt{3} }{4} )(x - \frac{15 - 5 \sqrt{3} }{4} )[/tex]
Hope this helps!
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