Question

if p(x)= ax^2 +bx+c is a quadratic polynomial, then find p(2)​

Answer 1

Answer:

The value of p(2) is 4a + 2b + c.

Given:

A quadratic polynomial -

• p(x) = ax² + bx + c

To Find:

We need to find -

• The value of p(2)

Solution:

We have -

⟹ p(x) = ax² + bx + c

To find p(2) we need to substitute 2 in this quadratic polynomial.

⟹ p(2) = a(2)² + b(2) + c

Solving the polynomial.

⟹ p(2) = a(4) + 2b + c

⟹ p(2) = 4a + 2b + c

∴ Thus, the value of p(2) is 4a + 2b + c

More To Know:

• Polynomial

→ Expressions that have one or more terms with a non-zero coefficient is known as a polynomial.

• Value of polynomial

If p(x) is a polynomial in x and if x is any real number, then the value obtained by substituting x by k (constant) in p(x) is called the value of p(x) at x = k.

• Types of polynomial

There are 5 types of polynomials -

1. Constant polynomial
2. Linear polynomial
3. Quadratic polynomial
4. Cubic polynomial
5. Biquadratic polynomial

Answer 2

Aиѕωєr —

• ➻ 4a + 2b + c

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀

Giνєи Qυєѕтiσи —

If p(x)= ax² + bx + c is a quadratic polynomial, Then find p(2).

✪ Here we have to find the value of p(2) . For this, we need to put the value of p(x) as 2 in the given quadratic polynomial .

Tнєrєfσrє —

➙ p(x) = ax² + bx + c

➙ p(2) = a(2)² + b(2) + c

➙ p(2) = ( a × 4 ) + ( b × 2 ) + c

➙ p(2) = 4a + 2b + c

❝ Hence , the value of p(2) in the given quadratic polynomial p(x)= ax² + bx + c is 4a + 2b + c ❞

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀

✰Mσrє Iиfσrмαтiσи —

A quadratic polynomial is a polynomial of two , I.e. the highest exponent of the variable is 2 . In general , a quadratic polynomial is in the form of : p(x) = ax² + bx + c

➻ Example :

• p(x) = 3x² + 6x + 2
• p(y) = x² - 7

➻ Polynomial :

A polynomial is a mathematical expression that contains two or more algebraic terms that are added , subtracted or multiplied ( divison is not allowed ) .

Polynomial expression include at least one variable and include constants and positive exponents as well .

❍ Types of polynomial :

• Monomial
• Binomial
• Trinomial

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