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Factorising Quadratics

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Question 1 of 10

The standard form of a quadratic equation is:

A

bx+c=0,b≠0

B

ax²+bx+c=0,a≠0

C

ax²=bx,a≠0

D

ax²=0,a≠0

Question 2 of 10

Two linear factors of  x²-15x+56=0 are:

A

(x-7) and (x+8)

B

(x+7) and (x-8)

C

(x-7) and (x-8)

D

(x+7) and (x+8)

Question 3 of 10

What are the factors of the quadratic equation x²+5x+6=0.

A

(x-2)(x-3)

B

(x-1)(x-6)

C

(x+2)(x+3)

D

(x+1)(x+6)

Question 4 of 10

Which formula is used to solve a quadratic equation when factorization is not possible?

A

Linear equation formula

B

Cubic equation formula

C

Quadratic formula

D

All of the above

Question 5 of 10

The solution of  5x²=15x are:

A

0 and 3

B

0 and 5

C

3

D

None

Question 6 of 10

The quadratic formula is:

A

x=(-b±√(b²-4ac))/2a

B

x=(b±√(b²-4ac))/2a

C

x=(-b±√(b²+4ac))/2a

D

x=(b±√(b²+4ac))/2a

Question 7 of 10

Factors of  (3x)²-x-2 are:

A

(x+1),(3x-2)

B

(x+1),(3x+2)

C

(x-1),(3x-2)

D

(x-1),(3x+2)

Question 8 of 10

What are the solutions of the equation   11x²=7-2x (rounded to two decimal places)?

A

x≈0.83,x≈-1.25

B

x≈0.71,x≈-0.89

C

x≈1.12,x≈-0.52

D

x≈065,x≈-0.95

Question 9 of 10

Which of the following is a factor of  x²  + 7x + 10?

A

(x+2)

B

(x+5)

C

(x-2)

D

(x+3)

Question 10 of 10

Solve the equation: 12x²−13x+4=13x²−5x+1. Give your answer to one decimal place.

A

x=1.2,x=0.4

B

x=2.1,x=−0.6

C

x=1.5,x=−0.3

D

x=0.9,x=0.2

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