Find the roots of polynomialgiven that x+1 is a factor. f(x)=x

Step-by-step explanation:

since it's given that (x +1) is a factor, f (-1) = 1

now let's divide f (x) by ( x + 1 )

(you can use the long division method )

then u get x^3 - 4x^2 - 3x + 12

now let's factorize this

x^3 - 4x^2 - 3x + 12

x^2 (x-4) -3 (x-4)

(x^2 -3 ) (x - 4)

x = +- sqrt 3 / x = 4 and x = -1

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