Which of the binomials below is a factor of this trinomial?

x^2+3x-10

a) x^3+5

b) x-5

c) x+2

d) x+5

x^2+4x-32

a) x+4

b) x^2+8

c) x-4

d) x-8

x^2+6x+8

a) x^2+4

b) x+4

c) x-4

d) x+8

x^2+7x-60

a) x-12

b) x^2-5

c) x+12

d) x+5

x^2+19x+84

a) x-7

b) x^2+12

c) x+84

d) x+7

X^2 + 3x - 10 = x^2 - 2x + 5x - 10 = (x^2 - 2x) + (5x - 10) = x (x - 2) + 5 (x - 2) = (x + 5) (x - 2)

Therefore, x + 5 is a factor of x^2 + 3x - 10

x^2 + 4x - 32 = x^2 - 4x + 8x - 32 = (x^2 - 4x) + (8x - 32) = x (x - 4) + 8 (x - 4) = (x + 8) (x - 4)

Therefore, x - 4 is a factor of x^2 + 4x - 32