Question

. If X =2 is a zero of the polynomial x²+3x-p, then the value of p is *
1 point
-4
0
6
10​

Answer 1

Answer:

Option IV) 10

Value of p is 10.

Step-by-step explanation:

Given:

x = 2

Polynomial = x² + 3x – p

To find:

Value of p

Solution :

$\longrightarrow$ p(x) = x² + 3x – p

$\longrightarrow$ p(2) = (2)² + 3(2) – p

(x - 2) is the zero of the given Polynomial. Placing 2 in x's place will result to zero.

$\longrightarrow$ (2)² + 3(2) – p = 0

$\longrightarrow$ 4 + 6 – p = 0

$\longrightarrow$ 10 – p = 0

$\longrightarrow$ 10 = p

Therefore, value of p is 10.

Answer 2

Answer:

Question :-

$\mapsto$ If x = 2, is a zero of the polynomial x² + 3x - p, then the value of p is ?

Options :

• - 4
• 0
• 6
• 10

Given :-

• If x = 2, is a zero of the polynomial x² + 3x - p.

To Find :-

• What is the value of p.

Solution :-

$\leadsto$ If x = 2, is a zero of the polynomial, x² + 3x - p :

$\implies \sf p(x) =\: x^2 + 3x - p$

We have :

• x = 2

Then,

$\implies \sf p(2) =\: (2)^2 + 3(2) - p$

$\pink{\bigstar}$ If 2 is the zero of p(x) = x² + 3x - p, then p(2) = 0.

$\longrightarrow \sf (2)^2 + 3(2) - p =\: 0$

$\longrightarrow \sf 2 \times 2 + 3(2) - p =\: 0$

$\longrightarrow \sf 4 + 3 \times 2 - p =\: 0$

$\longrightarrow \sf 4 + 6 - p =\: 0$

$\longrightarrow \sf 10 - p =\: 0$

$\longrightarrow \sf {\cancel{-}} p =\: {\cancel{-}} 10$

$\longrightarrow \sf\bold{\red{p =\: 10}}$

${\small{\bold{\purple{\underline{\therefore\: The\: value\: of\: p\: is\: 10\: .}}}}}$

Hence, the correct options is option no (4) 10.

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EXTRA INFORMATION :-

❒ Polynomial :

• An algebraic expressions in which all variable have power as a whole number is called polynomial.

❒ Types Of Polynomial :

◘ According to degree :

● Linear

● Quadratic

● Cubic

◘ According to terms :

⍟︎ Monomial

⍟︎ Binomial

⍟︎ Trinomial