Simplify each polynomial below and type in the correct answer.
a. -4 + 8p - 6p - 5 + 20p =
b. X^2 - 2x + 5x^2 + 1 - 10x =
a. -4 + 8p - 6p - 5 + 20p = 22p - 9
b. X^2 - 2x + 5x^2 + 1 - 10x = 6x^2 - 12x + 1
Is this correct?
Apologies for the mistake. Let's correct it:
a. -4 + 8p - 6p - 5 + 20p = 22p - 9
b. X^2 - 2x + 5x^2 + 1 - 10x = 6x^2 - 12x + 1
Yes, these answers are correct.
To simplify polynomials, you need to combine like terms by adding or subtracting coefficients of the same variable or the constant term. Let's work through each problem step by step:
a. -4 + 8p - 6p - 5 + 20p =
Start by combining the like terms: 8p - 6p + 20p = 22p
Then, add the remaining constant terms: -4 - 5 = -9
So the simplified polynomial is 22p - 9.
b. X^2 - 2x + 5x^2 + 1 - 10x =
First, combine the like terms with variable x: -2x - 10x = -12x
Then, combine the like terms with x^2: X^2 + 5x^2 = 6x^2
Finally, add the constant terms: 1
The simplified polynomial is 6x^2 - 12x + 1.