When the expression 2x^2+5x-3 is written in the equivalent form (2x-1)(x+3), list the factors

see explanation

Step-by-step explanation:

To factor the quadratic

2x² + 5x - 3

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term.

product = 2 × - 3 = - 6 and sum = + 5

The required factors are + 6 and - 1

Use these factors to split the x- term

2x² + 6x - x - 3 (factor the first/second and third/ fourth terms )

= 2x(x + 3) - 1(x + 3) ← factor out (x + 3)

= (x + 3)(2x - 1)

The factors are (x + 3) and (2x - 1)

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: