Which polynomial has zeros of 2, 5, and -4?
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A. (x + 2)(x + 5)(x - 4)
B. (2x - 4)(x + 5)(x + 4)
c. 6 - 2)(x - 5)(x - 4)
D. (2x - 4)(x - 5)(x + 4)

Step-by-step explanation:

(a) p(2)=(2+2) (2+5) (2-4)

=4*7*-2

=-56

So this is not the polynomial

(b) p(2)=(4-4) (2+5) (2+5)

=0*7*7

0

p(5)=(10-4)(5+5)(5+4)

6*10*9

=540

So this is also not the polynomial

(c)p(2)=(6-2)(2-5)(2-4)

4*-3*-2

24

so this is also not the polynomial

(d)p(2)=(4-4)(2-3)(2+4)

=0

p(5)=(10-4)(5-5)(5+4)

=0

p(-4)=(-8-4)(-4-5)(-4+4)

=0

so this is the polynomial

there is no image

Step-by-step explanation: