How do you simplify $5 x + 3 - x + 2 x^{2} + 4 x + 3$ $5 x + 3 − x + 2 x ^2 + 4 x + 3$ ?

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Answer 1 · 2015-09-10T19:11:59

We can simplify it by summing the similar parts of the polynomials

So we have that

$5 x + 3 - x + 2 x^{2} + 4 x + 3 = (5 x - x + 4 x) + 2 x^{2} + (3 + 3) = 2 x^{2} + 8 x + 6$ $5x+3-x+2x^2+4x+3=(5x-x+4x)+2x^2+(3+3)=2x^2+8x+6$

We can factor $2 x^{2} + 8 x + 6$ $2x^2+8x+6$ as follows

$2 x^{2} + 8 x + 6 = 2 (x + 1) (x + 3)$ $2x^2+8x+6=2(x+1)(x+3)$

How do you simplify 5x+3−x+2x2+4x+35 x + 3 − x + 2 x ^2 + 4 x + 3?