what is the expression factores form?

Question

2x^2+x-3

Answer 1

The expression factors form refers to factoring the expression into its simplest form or irreducible factors.

To factor the expression 2x^2 + x - 3, we need to find two binomials that, when multiplied together, result in the original expression.

One way to factor this expression is by multiplying the coefficient of the x^2 term (2) with the constant term (-3). In this case, 2 * (-3) = -6.

Next, we need to find two numbers that multiply to -6 and sum to the coefficient of the x term (1). The numbers that fit this criteria are -2 and 3, as -2 * 3 = -6 and -2 + 3 = 1.

Therefore, we can factor 2x^2 + x - 3 as (2x - 1)(x + 3).

Answer 2

sorry - wrong again
2x^2 + x - 3 = (2x+3)(x-1)

Answer 3

Apologies for the mistake. You are correct. The correct factored form of the expression 2x^2 + x - 3 is indeed (2x + 3)(x - 1). Thank you for pointing out the error.