Factoring Quadratics with First Term

Which of the following methods would be best to solve this equation by Factoring?
x² - 6x - 27 = 0

• Difference of Squares

• X-Chart with Grouping (when a > 1)

• Factor by Grouping

• X-Chart when a = 1

Tags

CCSS.HSA-REI.B.4B

What are the roots of the following quadratic?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

Tags

CCSS.HSA-REI.B.4B

Hank factored 5n²-18n+9. His work is shown in the image. Is he correct? Why/why not?

• No, he set up the number puzzle wrong and found the wrong numbers that make the product and sum.

• No, he forgot to split the middle term using -15n and -3n to factor by grouping.

• Yes, those are the correct values to put into each factor.

• Yes, he's correct because he's a math teacher's son. ;)

What is the FIRST step when factoring polynomials?

• Look for a GCF. If it has one, factor it out.

• Draw the "X" and fill in the top and bottom.

• Take the square root of perfect squares.

• Multiply "a" and "c".

can be written in factored form as can be written in factored form as The factored form is the product of ___________.

• two quadratic trinomials

• four monomials

• two linear binomials

• (x + 4)(x - 10)

• (x - 2)(x - 20)

• (x - 5)(x - 8)

• (x - 4)(x - 10)

• (2x + 1)(x + 15)

• (2x - 3)(x - 5)

• (x + 5)(2x + 3)

• 2(x - 3)(x - 5)

• prime

Factor completely:
16x^2+60x-100

• (4x - 5)(x + 5)

• (x - 5)(4x + 5)

• 4(x - 5)(4x + 5)

• 4(4x - 5)(x + 5)

Which number puzzle below shows how to set up the values correctly to factor a quadratic trinomial?

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