Question

Divide 2x^2 +9x - 2 by x+ 5

Answer 1

g(x)= x+5=0
x= -5

now p(-5) = 2(-5×-5) +9(-5)-2
2(25) -45 -2
50-47
3

Answer 2

Heya!!

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According to remainder theorem,

If a polynomial p(x) divided by (x- a) then remainder is equal to p(a).

Let a polynomial 2x^2 + 9x - 2 be p(x).

If it divided by (x +5) or {x - (-5)} , then remainder is equal to p(-5).

=) p(-5) = 2(-5)^2 + 9(-5) - 2

= 2(25) - 45 - 2

= 50 - 47

= 3

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Hope it's helps u.