Quadratic Equations MCQs with Answers

The sum of the squares of two consecutive odd numbers is 394. The sum of the numbers is?

• A.$28$
• B.$30$
• C.$26$
• D.$32$

Which of the following is not a valid type of root in a quadratic equation?

• A.Real and equal
• B.Real and distinct
• C.Complex (imaginary)
• D.Cubic

Past Paper MCQ

The sum of the reciprocals of A's ages (in years) 2 years ago and 2 years from now is $\frac{1}{3}$. The present age of A is:

• A.$3$ years
• B.$4$ years
• C.$5$ years
• D.$6$ years

What is the factorization of the quadratic expression $4x^2 + 7x + 3$?

• A.$(x + 1)(4x + 3)$
• B.$(x - 1)(4x - 3)$
• C.$(2x + 1)(2x + 3)$
• D.$(4x + 1)(x + 3)$

Solve the equation \(\frac{3}{x} + \frac{2}{x+1} = 1\). What is the value of \(x\)?

• A.\(2 + \sqrt{7}\)
• B.\(2 - \sqrt{7}\)
• C.\(1 + \sqrt{7}\)
• D.\(-2 + \sqrt{7}\)

Divide 12 into two parts such that the sum of their squares is greater than twice their product by 4. The parts are:

• A.$5$ and $7$
• B.$4$ and $8$
• C.$6$ and $6$
• D.$3$ and $9$

A quadratic equation has degree _?

• A.$1$
• B.$2$
• C.$3$
• D.$4$

If $b^2 - 4ac < 0$, then the roots are _?

• A.Real and equal
• B.Real and unequal
• C.Unequal and imaginary
• D.Equal and imaginary

Find the quadratic equation whose roots are $3$ and $-5$.

• A.$x^2 - 8x + 15 = 0$
• B.$x^2 - 2x - 15 = 0$
• C.$x^2 + 2x + 15 = 0$
• D.$x^2 + 2x - 15 = 0$

One zero of the polynomial $p(x) = x^2 - 4x + 3$ is:

• A.$1$
• B.$-1$
• C.$3$
• D.$-3$