M8alandridgl
Answered

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

Verified Answer :

nobillionaireNobley

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

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