Question

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

Answer 1

substitute 5 in the equation ,if it satisfies the equation ,then it will be root (zero) of the polynomial

Answer 2

Hi ,

Let p( x) = 2x³-7x²-16x+5

If p( 5 ) = 0 then 5 is the zero of the polynomial.

P( 5 ) = 2 ×5³ - 7× 5² - 16× 5 + 5

= 2 × 125 - 7 × 25 - 80 + 5

= 250 - 175 - 80 + 5

= 255 - 255

= 0

Therefore ,

P( 5 ) = 0

5 is the zero of p( x )

I hope this helps you.

:)