Multiplying Polynomials:
Multiplying polynomials consists mainly of distrbuting and simplifying, if you're confused I'll give you an example,
Simplify (4x^2 – 4x– 7)(x + 3):
First, split the equation into two separate expressions:
(4x^2 – 4x– 7)(x) + (4x^2 – 4x– 7)(3)
Next, distribute the x and the 3 to their respective expressions:
(4x^3 - 4x^2 - 7x) + (12x^2 - 12x - 21)
Now remove the parentheses:
4x^3 - 4x^2 - 7x + 12x^2 - 12x - 21
Finally, you guessed it, combine like terms to get an answer of:
4x^3 + 8x^2 - 19x - 21
Simplify (4x^2 – 4x– 7)(x + 3):
First, split the equation into two separate expressions:
(4x^2 – 4x– 7)(x) + (4x^2 – 4x– 7)(3)
Next, distribute the x and the 3 to their respective expressions:
(4x^3 - 4x^2 - 7x) + (12x^2 - 12x - 21)
Now remove the parentheses:
4x^3 - 4x^2 - 7x + 12x^2 - 12x - 21
Finally, you guessed it, combine like terms to get an answer of:
4x^3 + 8x^2 - 19x - 21