In the following, use the method of your choice to

percibaa8

percibaa8

Answered question

2021-12-14

In the following, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.
3x2+8x+5

Answer & Explanation

hysgubwyri3

hysgubwyri3

Beginner2021-12-15Added 43 answers

Let:
y=3x2+8x+5...(1)
Step 2
Equate the above equation equals to 0:
3x2+8x+5=0
Apply quadratic formula: x=b±b24ac2a for quadratic equation ax2+bx+c=0,
x=8±8243523
=8±26
=1,53
Step 3
Thus, in factorization form:
(x+1)(x+53)=0
(x+1)(3x+53)=0
(x+1)(3x+5)=0
Hence, factorization form of (1) is:
y=(x+1)(3x+5)...(2)
Step 4
To check the above result using FOIL multiplication:
For (a+b)(c+d), FOIL multiplication states:
(a+b)(c+d)=ac+ad+bc+bd
Apply the above formula in (2):
y=x*3x+x*5+1*3x+1*5
=3x2+5x+3x+5
=3x2+8x+5
The above result is same as (1).
Hence, factorization is correct.

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