Question

3. If A= 2+4x+3x^2, B= -3-5x+x^2 and C = 1+3x – 7x^2 then A+B+C is *

a) 2x

b) 2x^2 +2x

c) 4x^2 - 2x

d) -​

Answer 1

ANSWER:

Given:

• A= 2 + 4x + 3x^2
• B = -3 - 5x + x^2
• C = 1 + 3x - 7x^2

To Find:

• Value of A+B+C

Solution:

$\sf{:\longrightarrow A + B + C \\\\\text{Putting the values of A, B \& C}} \\\\:\implies\sf{(2 + 4x + 3x^2) + (-3 - 5x + x^2) + (1 + 3x - 7x^2)}\\\\:\implies \sf{2 + 4x + 3x^2 - 3 - 5x + x^2 + 1 + 3x - 7x^2} \\\\\text{Rearranging and keeping the like terms together,}\\\\:\implies \sf{(2 - 3 + 1) + (4x - 5x + 3x) + (3x^2 + x^2 - 7x^2)} \\\\:\implies \sf{(3 - 3) + (7x - 5x) + (4x^2 - 7x^2)} \\\\:\implies \sf{0 + 2x - 3x^2} \\\\:\implies \bf{2x - 3x^2}$

Important Points:

• Like terms: The terms having same variables and powers are called Like terms. However, the coefficients may vary.
• Unlike terms: The terms having different variables and powers are called Unlike terms.
• Remember to note down the sign of the terms from the question properly.

Learn More:

• Polynomials with the degree(max power) 1 are called linear polynomials.
• Polynomials with the degree(max power) 2 are called quadratic polynomials.
• Polynomials with the degree(max power) 3 are called cubic polynomials.