In this page factoring worksheet1 solution9 we are going to see solution of some practice questions from factoring worksheet1.

**Question 1:**

Solve by using quadratic formula x² – 7 x + 12 = 0

**Solution:**

Now we are going to compare the given equation by ax² + b x + c = 0

a = 1 b = - 7 c = 12

x = -b ± √(b² – 4 a c)/2a

x = -(-7) ±√[(-7)2 – 4 (1)(12)]/2(1)

x = 7 ±√[49 – 48]/2

x = 7 ± √1/2

x = (7 + 1)/2 x = (7 – 1)/2

x = 8/2 x = 6/2

x = 4 x = 3

**Verification:**

x² – 7 x + 12 = 0

if x = 4

4² – 7(4) + 12 = 0

16 - 28 + 12 = 0

28 - 28 = 0

0 = 0

if x = 3

3² – 7(3) + 12 = 0

9 - 21 + 12 = 0

21 - 21 = 0

0 = 0

**Question 2:**

15x² – 11 x + 2 = 0

**Solution:**

Now we are going to compare the given equation by ax²+ b x + c = 0

a = 15 b = - 11 c = 2

x = -b ± √(b² – 4 a c)/2a

x = -(-11) ±√[(-11)2 – 4 (15)(2)]/2(15)

x = 11 ±√(121 –120)/30

x = 11 ± √1/30

x = (11 + 1)/30 x = (11 – 1)/30

x = 12/30 x = 10/30

x = 2/5 x = 1/3

**Verification:**

15x² – 11 x + 2 = 0

if x = 2/5

15 (2/5)² – 11 (2/5) + 2 = 0

(12/5) - (22/5) + 2 = 0

(12 - 22 + 10)/5 = 0

(22 - 22)/5 = 0

0 = 0

15x² – 11 x + 2 = 0

if x = 1/3

15 (1/3)² – 11 (1/3) + 2 = 0

(15/9) - (11/3) + 2 = 0

(15 - 33 + 18)/3 = 0

(15 + 18 - 33)/3 = 0

(33 - 33)/0 = 0

0 = 0

factoring worksheet1 solution9 factoring worksheet1 solution9

- Back to worksheet
- Elimination method worksheet
- Cross multiplication method worksheet
- Equation from roots worksheet
- Relationship between roots and coefficients worksheet
- Factorization method worksheet
- L.C.M and G.C.D worksheet
- Factoring worksheet worksheet
- Application problems on quadratic equation worksheet
- Nature of roots worksheet