The factors of the polynomial are <u>(2x + 3) (x + 1)</u>
<h3>Further explanation</h3>
Factoring A Quadratic Equation means finding a factor of an equation that if multiplied produces a quadratic equation
We can solve the quadratic equation with the formula or we can do it by finding the common factor as below
From the 2x² + 5x + 3 equation, we can determine a, b and c from the general quadratic equation namely ax² + bx + c:
a = 2, b = 5, c = 3
First, find two numbers that multiply to give a x c and add to give b.
From the equation above:
a x c = 6, and b = 5
we look for a factor of 6 which when added together gets the number 5
a factor of 6: 1,2,3,6
of these factors which can be added to 5 are 2 and 3
So the form of the equation becomes:
2x² + 2x + 3x + 3
(2x² + 2x) + (3x +3)
2x (x + 1) + 3 (x + 1)
(x + 1) -> common to both terms
We use the principle of distributive property of addition
ax (b + c) = axb + axc -> a = x + 1
<em>so the factors</em><em> : (2x + 3) (x + 1)</em>
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<h3>Learn more</h3>
Greatest common factor
brainly.com/question/6457291
Keywords : factorization, polynomial, the quadratic equation
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