Home > Algebra > Multiplication of Polynomials by Binomials

How do you simplify #(x-2) (x^2+3x-2)#?

Answer 1

#x^3 + x^2-8x + 4#

Each term in the first bracket has to be multiplied by each term in the second bracket. This will give 6 terms. (2x3) Then collect any like terms and arrange them in descending order of powers of x to get to the final answer.

#(x-2)(x^2 + 3x -2) = x^3 +3x^2 -2x -2x^2 -6x +4#

= #x^3 + x^2-8x + 4#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

To simplify (x-2)(x^2+3x-2), you can use the distributive property. First, distribute the term (x-2) to each term inside the parentheses of (x^2+3x-2) and then combine like terms. The result will be x^3 + 3x^2 - 2x - 6.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.