Question

is x=-3 zero of the polynomial p(x)=2x^2+5x+3?

Answer 1

2×{-3}^2 + 5×{-3} +3
= 18 + {-15} +3
21+{-10}
=6
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Answer 2

Answer:

Required value of p(x) is 6 for x=-3.

Step-by-step explanation:

Given,-3 is zero of the polynomial

$p(x) = 2 {x}^{2} + 5x + 3....(1)$

We are putting $x = - 3$

So,$p( - 3) = 2 { (- 3)}^{2} + 5 \times ( - 3) + 3$

$= 2 \times 9 - 15 + 3$

$= 18 - 15 + 3$

$= (18 + 3) - 15$

$= 21 - 15$

$= 6$

So for x=-3 value of p(x) is 6.

By this process we can find value of p(x) for any value of x.

For example let x=5 then,

$p(5) = 2 \times {5}^{2} + 5 \times 5 + 3$

$= 50 + 25 + 3$

$= 78$