HW 3

Solve an equation written in factored form

100

(8-z)(2z+5)=0

z= 8, -5/2

200

2(y+5)(-y+7)=0

y= -5, 7

300

5u(u+9)(u-1)=9

u= 0, -9, 1

400

-3(y-7)(-y-2)=0

y= 7,-2

500

5y(y+8)(y-2)=0

y= 0,-8, 2

Factoring a quadratic with a leading coefficient greater than 1

100

3y²-14y-24

(3y+4)(y-6)

200

10x²+31x+3

(10x+1)(x+3)

300

14z²+9z-5

(14z-5)(z+1)

400

3z²-34z-24

(3z+2)(z-12)

500

5y²-19y+18

(5y-9)(y-2)

Simplifying the square root of a whole number greater than 100

100

√148

2√37

200

√180

6√5

300

√176

4√11

400

√189

3√21

500

√192

8√3

Finding the roots of a quadratic equation of the form ax^2+bx=0

100

5v²-30v=0

v=?

v= 0, 6

200

3u²-12u=0

u=?

u= 0,4

300

y²=-19y

y=?

y= 0, -19

400

4y²+28y=0

y=?

y= 0, -7

500

3y²=-24y

y=?

y= 0, -8

Factoring a difference of squares in one variable

100

25-49y²

(5+7y)(5-7y)

200

4-25x²

(2+5x)(2-5x)

300

36x²-25

(6x+5)(6x-5)

400

64-9w²

(8+3w)(8-3w)

500

49-4u²

(7+2u)(7-2u)