Quadratic Equations MCQs with Answers

What is the factorization of the quadratic expression $x^2 - 12x + 35$?

• A.$(x - 7)(x - 5)$
• B.$(x + 7)(x + 5)$
• C.$(x - 7)(x + 5)$
• D.$(x + 7)(x - 5)$

Past Paper MCQ

If the sum of the ages of two children is $12$ years and their product is $32$, which one is the elder?

• A.$6$ years
• B.$8$ years
• C.$4$ years
• D.$10$ years

What is the factorized form of the expression: $x^2 - 3x - 4$?

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

If the sum of the roots of the equation $ax^2 - 2x + 2a = 0$ is equal to their product, then the value of $a$ is:

• A.$1$
• B.$-1$
• C.$2$
• D.$\frac{1}{2}$

Find the value of $n$ if both the sum and product of the roots of the quadratic equation $mx^2 - 5x + n = 0$ are equal to $10$.

• A.$5$
• B.$10$
• C.$\frac{5}{2}$
• D.$2$

What is the nature of the roots of the equation $4x^2 + x + 1 = 0$?

• A.Real and equal
• B.Real and unequal
• C.Imaginary and unequal
• D.Imaginary and equal

Find the value of $k$ if the roots of $x^2 - 3x + k + 1 = 0$ differ by unity.

• A.$0$
• B.$2$
• C.$1$
• D.$3$

For what value of $k$ are the roots of the equation $3x^2 - 6x + k = 0$ equal?

• A.$3$
• B.$6$
• C.$9$
• D.$12$

The number of solutions of the equation $x^2 - 4 = 0$ is?

• A.$1$
• B.$0$
• C.$2$
• D.$4$

What are the roots of the equation $x^2 - 5x + 6 = 0$?

• A.$x = 1$, $x = 6$
• B.$x = -2$, $x = -3$
• C.$x = 2$, $x = 3$
• D.$x = -1$, $x = -6$