CALCULATOR
Product of Two Linear Binomials Coefficient Calculator
Product of Two Linear Binomials Coefficient. Coefficient: 0=x², 1=x, 2=constant: x² coefficient, x coefficient, Constant coefficient only. Example: A: 2 number, B: 3 number, C: 4 number, D: 5 number, Coefficient: 0=x², 1=x, 2=constant: 1 number gives 22 number. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not
Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Distribute each factor term; collect equal powers.
Accepted inputs: A: -100 to 100 number; B: -100 to 100 number; C: -100 to 100 number; D: -100 to 100 number; Coefficient: 0=x², 1=x, 2=constant: choose x² coefficient (0), x coefficient (1), Constant coefficient (2).
How the calculation works
(ax+b)(cx+d)=ac x²+(ad+bc)x+bd
Worked example
With a 2 number, b 3 number, c 4 number, d 5 number, coefficient: 0=x², 1=x, 2=constant x coefficient, product of two linear binomials coefficient is 22 number.
Assumptions and limits
Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Distribute each factor term; collect equal powers.