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2 years ago

5

What is the factorized form of 4x^2+12x+5

1 answer:

faltersainse [42]2 years ago

4 0

Here, we can use factoring decomposition; determine two values in which the product is 20 and the sum is 12. They are 2 and 10, so split 12x into 2x and 12x!

<span>4x² + 2x + 10x + 5 = 0 </span>

<span>Factor like terms.. </span>

<span>2x(2x + 1) + 5(2x + 1) = 0 </span>

<span>Group the common factors of 2x + 1 and collect the terms.. </span>

<span>(2x + 1)(2x + 5) = 0 </span>

<span>Finally, by zero-product property: </span>

<span>2x + 1 = 0 and 2x + 5 = 0 </span>
<span>2x = -1 and 2x = -5 </span>
<span>x = {-½, -5/2} </span>

<span>I hope this helps!</span>

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