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Exercise

$\left(3x^2+2\right)\left(x-1\right)$

Step-by-step Solution

1

Multiply the single term $x-1$ by each term of the polynomial $\left(3x^2+2\right)$

$3x^2\left(x-1\right)+2\left(x-1\right)$
2

Multiply the single term $3x^2$ by each term of the polynomial $\left(x-1\right)$

$3xx^2-3x^2+2\left(x-1\right)$
3

When multiplying exponents with same base you can add the exponents: $3xx^2$

$3x^{3}-3x^2+2\left(x-1\right)$
4

Multiply the single term $2$ by each term of the polynomial $\left(x-1\right)$

$3x^{3}-3x^2+2x-2$

Final answer to the exercise

$3x^{3}-3x^2+2x-2$

Try other ways to solve this exercise

  • Choose an option
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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$factor\left(x^3-4x^2+x+6\right)$

Main Topic: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.

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