Verified Answer :

(x + 1)

As:

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

= 2x2 + 5x + 3

calculista

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

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

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