Question

2x²+3x+1 find the sum​

Answer 1

Answer:

I will use the “ac” and factor by grouping method.

A quadratic polynomial can be expressed in the form:

ax² + bx + c

Take the product of ac; 2 x 1 = 2, Find a factor pair of ac that adds to b; 3.

1 x 2 => 1 + 2 = 3

Rewrite 2x²+ 3x+ 1 as 2x²+ 2x + 1x + 1 [because 2 +1 = 3 and 2 x 1 = 2]

Regroup so 2x²+ 2x + 1x + 1 becomes: (2x²+ 2x) + (1x + 1)

(2x²+ 2x) + (1x + 1) Factor 2x out of the left parentheses

2x(x + 1) + (1x + 1) Factor one out of the right parentheses

2x(x + 1) + 1(x + 1) Combine the coefficients of your like term, (x + 1)

(2x + 1)(x + 1)

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Answer 2

(x+1)(2x+1) is the answer.

Step-by-step explanation:

It is simplified by factorization. (splitting the middle term in first step).

Hope it helps you..