Question

Show that 5 is a zero of polynomial 2x3
-7x2
-16x + 5

Answer 1

Step-by-step explanation:

If 5 is the zero of the polynomial then it will satisfy the equation.

Putting x = 5 in equation

$2 {x}^{3} - 7x^{2} - 16x + 5 = 0$

$2 {(5)}^{3} - 7 {(5)}^{2} - 16(5) + 5 = 0$

$2(125) - 7(25) - 16(5) + 5 = 0$

$250 - 175 - 80 + 5 = 0$

$75 - 80 + 5 = 0$

$- 5 + 5 = 0$

$0 = 0$

Since both sides are equal, hence 5 is the zero of the quadratic polynomial

Answer 2

Answer: 5 is the zero of the given polynomial.

Step-by-step explanation:

p(x)=2x^3 -7x^2 -16x+5=0

p(5)=2(5)^3 -7(5)^2 -16x +5=0

p(5)=(250-175-80+5=0

p(5)=75-80+5=0

p(5)=-5+5=0

p(5)=0=0

Since, 5 is the zero of the given polynomial

Thank you for the question!☺️