Factoring GCF Monomials and Trinomials

What is the Factored form of given polynomial ?

• 1 ( 5 + 2a )

• 5 ( 2 + a )

• 1 ( 5 + 2a )

• 5 ( 1 + 2a )

GCF stands for

• Great Taste White

• Greatest Common Factor

• Great Common Factor

• Greatest Common Factoring

TRUE OR FALSE:

The greatest common factor of two or more monomials

is the common factor having the greatest numerical factor and

with variables having the least degree.

• TRUE

• FALSE

Factor the trinomial

*start with the GCF

x³ - 6x² + 8x

Factor
2n² + 32n + 126

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• 2(n+7)(n+9)

Factor completely perfect square trinomials; and solve problem involving factors of polynomials. 9a² + 24a + 16

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 GCF of these two monomials?

• none of these

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".

• (x + 4)(x - 10)

• (x - 2)(x - 20)

• (x - 5)(x - 8)

• (x - 4)(x - 10)