Question

a polynomial p is graphed what could be the equation of pA) p (x) = (x-1)² (x-4) (2x+3)B) p (x) = (x-1) (x-4) (2x+3)²C) p (x) = (x+1) (x+4) (2x-3)²D) p (x) = (x-1) (x-4)² (2x+3)

Answer 1

From the graph,

The zeroes of the polynomials are x- intercepts of the graph.

Therefore the zeroes are

$\frac{-2}{3},\text{ 1, 4}$

Therefore, the corresponding polynomial is,

$(x-1)(x-4)(x+\frac{2}{3})^2_{}$

Therefore, here the correct option is option B