Mastering Multiplying Binomials and Factoring Trinomials

What does FOIL stand for in multiplying binomials?

• First, Outer, Inner, Loop

• Final, Outer, Inner, Linear

• First, Open, Inner, Last

• First, Outer, Inner, Last

Tags

CCSS.HSA.APR.A.1

What is the result of multiplying (x - 7) and (3x + 1)?

• 3x^2 - 20x - 7

• x^2 - 21x - 7

• 3x^2 + x - 7

• 3x^2 - 7x + 1

Tags

CCSS.HSA.APR.A.1

How do you combine like terms in a polynomial?

• By subtracting the highest degree term from the lowest

• By multiplying the coefficients of all terms

• By adding the coefficients of terms with the same degree

• By dividing the polynomial by the number of terms

Tags

CCSS.7.EE.A.1

What is the purpose of factoring trinomials?

• To make them more complex

• To simplify expressions for solving equations

• To convert them into quadratics

• To find their derivatives

What does the 'a' represent in the standard expression of a trinomial?

• The variable x itself

• The coefficient of the x term

• The constant term

• The coefficient of the x^2 term

How do you determine the numbers for the X method in factoring?

• Numbers that multiply to 'ac' and add to 'b'

• Numbers that add to 'ac' and multiply to 'b'

• Numbers that divide 'ac' and subtract 'b'

• Numbers that subtract to 'ac' and divide by 'b'

What is the factored form of x^2 - 7x + 6?

• (x - 6)(x - 1)

• (x + 6)(x + 1)

• (x + 7)(x - 1)

• (x - 7)(x + 6)

What is the result of factoring x^2 + 5x + 6?

• (x + 3)(x + 2)

• (x - 3)(x - 2)

• (x - 5)(x - 6)

• (x + 5)(x + 1)

Which pair of numbers multiplies to -30 and adds to 1?

• -30 and 1

• -6 and 5

• 30 and -1

• 6 and -5

What is the factored form of x^2 + 4x + 3?

• (x - 4)(x - 3)

• (x - 3)(x - 1)

• (x + 3)(x + 1)

• (x + 4)(x + 3)