Q 6.29TI

Factor completely using trial and error: $2 a^{2} + 5 a + 3$

Verified

Answer

The factored form is $(2 a + 3) (a + 1)$

1Step 1: Given information

Given the polynomial $2 a^{2} + 5 a + 3$

2Step 2: Write the factors of the first term

The first term is $2 a^{2}$ , the factors are $2 a, 1 a$ , putting in parentheses, we get

$(2 a) (a)$

3Step 3: Calculating the factors of the third term

The third term is $3$ , the factors is $1, 3$ so testing the possible combinations, we have $2, 3$

$(2 a + 3) (a + 1) = 2 a^{2} + 5 a + 3$