Respuesta :

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The polynomials with graphs that intersect the x-axis at the origin are:

  • y=x(+1) (- 2)
  • y=3x(2 - x)(x+6)(3-2)

A polynomial is an expression form of an algebraic term with one or more terms and their arithmetic operations.

To select the graph that intersects with the x-axis at the origin. The graph must satisfy the condition at origin (0,0)

NOTE: The first two terms in the question does not satisfy the condition to be a polynomial since y is not expressed in terms of x

1.

y = x(+1) (-2)

y = -2x

  • when x = 0

y = -2 (0)

y = 0           (This shows that x intersect at origin)

2.

y = (2x + 2) (x-7) (x + 1 )

  • when x = 0

y = (2(0) +2) (0 -7) (0 + 1)

y = (2) (-7) (1)

y = -14          (This shows that y does not interesect with x at the origin)

3.

y = 3x(2 - x) (x + 6) (3 -2)

  • when x = 0

y = 3(0) (2 -0) (0 + 6) ( 3 - 2)

y = 0 × (2) × (6) × (1)

y = 0                (This shows that x intersect at origin)

Learn more about polynomials here:

https://brainly.com/question/4142886

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