Question

Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.
Solution:​

Answer 1

✬ The value of p is 10✬

Step-by-step explanation:

Given polynomial: p(x) = x² + 3x + p = 2

To find: Value of p

Solution:

Let us put the 2 in the value of x

Then,

$\\ :\implies\sf{p(2) = {x}^{2} + 3x + p } \\ \\ :\implies\sf{p(2) = {(2)}^{2} + 3(2) + p} \\ \\ :\implies\sf{p(2) = 4 + 6 + p} \\ \\ :\implies\sf{p(2) = 10 + p} \\ \\ :\implies\sf{ - p = 10} \\ \\ :\implies \underbrace{\boxed{\mathfrak{p = 10}}}$

• Hence,The value of p is 10.

Answer 2

Here, the value of p is 5.

Step-by-step explanation:

Given polynomial: 

p(x) = x² + 3x + p = 2

To find: 

Value of p

Solution:

Let us put the 2 in the value of x

Then,

⟹p(2)=x²+3x+p

⟹p(2)=(2)²+3(2)+p

⟹p(2)=4+6+p

⟹p(2)=10+p

⟹−p=10

⟹p=10

Hence,The value of p is 10.

Thank you!!

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