Algebra Class: Factoring Techniques
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Questions and Answers

What is the common factor in the expression $w(x+1)-4(x+1)$?

  • $4$
  • $x+1$ (correct)
  • $x$
  • $w$

What is true about the sign of the second term when factoring a perfect square trinomial?

  • It is always positive (correct)
  • It can be either positive or negative
  • It is always zero
  • It is always negative

What is the pattern for the signs of the factors when $a^2+b^2$ is factored?

  • Both signs are positive
  • The signs are always the same
  • Both signs are negative
  • The signs are alternating (correct)

How does a difference between two squares factor?

<p>Into conjugates (A)</p> Signup and view all the answers

What is the correct factorization of the expression $x^2+3x-10$?

<p>$(x-5)(x+2)$ (D)</p> Signup and view all the answers

Flashcards

Factoring Binomials

Finding expressions that multiply together to form a given binomial.

Perfect Square Trinomial

A trinomial that can be factored into the square of a binomial.

Difference of Squares

A binomial where both terms are squares and separated by subtraction.

Factoring Trinomials

Breaking down trinomials into a product of two binomials.

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Factoring Strategy

Systematic method to find common factors, square/trinomial patterns.

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