Factoring Polynomials
4z2+19z+12
(4z+3)(z+4)
The sum of a number and its square is 72. Find the number.
-9, 8
15x2+3x−8=5x−7.
1/3, -1/5
81x2−36xy+4y2
(9x -2y)2
The area of a triangle is 44m2. Find the lengths of the legs if one of the legs is 3m longer than the other leg.
8 m and 11 m
x5 − 5x3 + 4x = 0
0,1, -1, 2, -2
250?x3 + 2
2(5x + 1)(25x2 - 5x + 1)
The top of a 15-foot ladder is 3 feet farther up a wall than the foot is from the bottom of the wall. How far is the ladder from the bottom of the wall?
9 ft
0.04w4 + 0.28w3 + 0.49w2
0 (d.r.), -3.5 (d.r.)
3z5−17z4−28z3
z3(3z+4)(z−7)
A farmer plans to use 21 m of fencing to enclose a rectangular pen having area 55 m2. Only three sides of the pen need fencing because part of an existing wall will form the fourth side. Find the dimensions of the pen.
5 m by 11 m or 5.5 m by 10 m
9x3 – 4x = –18x2 + 8
-2, 2/3, -2/3
2x14−512x6
2x6(x4+16)(x2+4)(x+2)(x−2)
A rancher plans to use 160 yd of fencing to enclose a rectangular corral and to divide it into two parts by a fence parallel to the shorter sides of the corral. Find the dimensions of the corral if it's area is 1000 yd2.
20 yd by 50 yd
(s-6)3=27(s-8)
0, 9 (d.r.)