Two students are in dispute over who factored the expression given below correctly. Daisy factored it to be (2+12)(x-2). Donnie factored it to be 2(+6)(-2). Which one is factored completely and correctly. Explain the reasoning in your work.

Daisy factored it completely and wholly.

Step-by-step explanation:

An algebraic expression consists of a variable and a number.

Therefore the factors of the algebraic expression must have a variable and a number.

If we look at the factors drawn by both students we find that Donnie's factors do  not contain a variable.

For example  if we have an expression

x²+ 4x

Then its factors will be x(x+4) . There has to be a variable.

Donnie's factors are missing a variable . There fore these factors do not completely solve the expression.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this