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LuckyWell [14K]
3 years ago
5

What is the missing term in the factorization of 2x2 + 5x + 3? (2x + 3)(x + )

Mathematics
2 answers:
marin [14]3 years ago
8 0

Answer:

The missing term is 1

Step-by-step explanation:

we have

2x^{2} +5x+3

Let

b-----> the missing term

we know that

2x^{2} +5x+3=(2x+3)(x+b)

solve for b

2x^{2} +5x+3=(2x+3)(x+b)\\ \\2x^{2} +5x+3=2x^{2} +2xb+3x+3b\\ \\2x^{2} +5x+3=2x^{2} +x(2b+3)+3b

Solve the system

2b+3=5 ------>b=1

Verify in the second equation

3b=3 ------> substitute the value of b ----> 3=3 --> is ok

therefore

2x^{2} +5x+3=(2x+3)(x+1)

nata0808 [166]3 years ago
3 0
(x + 1)

As:

(2x + 3)(x + 1) = 2x2 + 2x + 3x + 3

= 2x2 + 5x + 3
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