Factoring Polynomials (including Quadratics)

TRUE or FALSE:
Standard form of a quadratic trinomial is
 $ax^2+bx+c$  

• TRUE

• FALSE

What is the GCF of these two monomials?

 $18x^2y^3\ ,\ 90x^4y^3$  

•  $9xy$  

•  $9x^2y^2$  

•  $18x^4y^3$  

•  $18x^2y^3$  

• 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".

Select all of the Quadratic Trinomials:

• $x^4-4x^2+4$

• $x^2+16x+64$

• $4x^2+19x+12$

• $4x-4y+4z$

• $x^2-81$

 $2x^2-17x+8$  can be written in factored form as $\left(2x-1\right)\left(x-8\right).$  

The factored form is the product of ___________.

• two quadratic trinomials

• four monomials

• two linear binomials

Factor completely:

 $x^2-13x+40$  

• (x + 4)(x - 10)

• (x - 2)(x - 20)

• (x - 5)(x - 8)

• (x - 4)(x - 10)

Factor completely:

 $2x^2+13x+15$  

• (2x + 1)(x + 15)

• (2x - 3)(x - 5)

• (x + 5)(2x + 3)

• 2(x - 3)(x - 5)

• prime

Find the expression that represents the area of a rectangle with these dimensions:

length = (3x - 1)

width = (x + 9)

• $-3x^2-9x$
  

• $3x^2+26x-9$

• $-3x^2+9x$

• $3x^2+28x-9$

A rectangle has an area of

 $4x^2+19x+12$  square feet.

If the length is (x + 4) feet,
what is the width? 

• (4x + 3) feet

• (4x - 3) feet

• (2x + 3) feet

• (2x - 3) feet

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. ;)