X2 + 5x - 36

which binomial is a factor of the polynomial?

a)
(x + 6)

b)
(x + 9)

c)
(x + 5)

d)
(x + 12)

(x+9) is one of the factor

Step-by-step explanation:

x^2 + 5x - 36

factor the given expression

Product is -36  and sum is +5

We find out two factors whose product is -36 and sum is +5

9 times -4 = -46

9 - 4= 5

x^2 +9x -4x -36

Group first two terms and last two terms and factor out GCF

(x^2 +9x)+(-4x -36)

x(x+9) - 4(x+9)

(x+9)(x-4)

So (x+9) is one of the factor

if im undersanding the question correctly, its organized from 10

step-by-step explanation:

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