Q2 Complete the worksheet on your desk.

Q2

Tutoring: Tuesday 4/16/19

I can factor quadratic equations using the x-box factoring method Today’s Objective: I can factor quadratic equations using the x-box factoring method

Quadratic Equation: a polynomial with 3 terms and the largest exponent is 2. It’s graph is a parabola. Its standard form is written: y = ax2 + bx + c

Factoring quadratic equations: Take out all gcf if there are any. Make sure the leading coefficient is positive. If it is negative, factor out a -1. 3. Make and label a large X.

List all factors of a*c here: ax2 + bx + c: 3x2 -10x + 8 Step 1: Draw an X. Step 2: Fill the bottom of the x with the “b” number and the top with the product of a*c. 3*8 = 24 List all factors of a*c here: a*c 1, 4 2, 12 3, 8 4, 6 b -10

List all factors of a*c here: List all factors of a*c here: ax2 + bx + c: 3x2 -10x + 8 Determine the signs: If ac is +; the signs are the same (either both + or both -) Then look at b. If b is -, you know that Both a & c are -. 3*8 = 24 List all factors of a*c here: List all factors of a*c here: a*c 1, 4 2, 12 3, 8 4, 6 b -10 If ac is -, then you know either a is – or c is -. Look at b. The sign of the same as the digit.

And one factor goes here. List all factors of a*c here: ax2 + bx + c: 3x2 -10x + 8 And one factor goes here. 3*8 = 24 List all factors of a*c here: List all factors of a*c here: a*c -8 1, 4 2, 12 3, 8 4, 6 -2 b -10 One factor goes here.

ax2 + bx + c: 3x2 -10x + 8 3*8 = 24 a*c -8 -2 b -10 (x ) (x ) (x ) (x )

Find Solutions: 3x2 -10x + 8 (x - 2 ) = 0 x = 2 3*8 = 24 (x - 8 ) = 0 a*c x = 8 b -10 (x - 2 ) (x - 8 )

Factor; then find the solutions. m2 + 8m + 7 (m + 7) (m + 1) m = -7; m = -1

Factor; then find the solutions. x2 -9x+ 20 (x-4) (x-5) x = 4; x = 5

Factor; then find the solutions. 2x2 + 24x + 40 2(x+10) (x+2) x = -10; x = 2

Factor; then find the solutions. 15t2 + 7t - 2 (3t + 2) (5t - 1) t= −𝟐 𝟑 ; t = 𝟏 𝟓

finish missing assignments. Use this time wisely to finish missing assignments.