Algebraic Expressions MCQs with Answers

HCF and LCM of two polynomials are $x - 2$ and $x^3 + 3x^2 - 6x - 8$ respectively. If one polynomial is $x^2 - x - 2$, find the second polynomial.

• A.$x^2 + 2x - 8$
• B.$x^2 - 2x - 8$
• C.$x^2 + 2x + 8$
• D.$x^2 - 3x - 8$

The value of $\frac{2022^2 - 1^2}{2021}$ is:

• A.$2021$
• B.$2022$
• C.$2023$
• D.$2024$

Factorize: $3x^2 - 9x + 6 =$ ?

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

If $a + b = 5$ and $ab = 5$, then $a - b =$ _?

• A.$\pm \sqrt{5}$
• B.$\pm 5$
• C.$\pm \sqrt{10}$
• D.$\pm 3$

Past Paper MCQ

If $x = 3 + \sqrt{8}$, find the value of $x^2 + \frac{1}{x^2}$.

• A.$30$
• B.$34$
• C.$38$
• D.$42$

$a^2 - b^2 =$ _?

• A.$(a - b)(a + b)$
• B.$(a - b)^2$
• C.$(a + b)^2$
• D.$(a - b)(a - b)$

What is the remainder when the polynomial $3x^3 - 2x^2 - 150$ is divided by $x - 4$?

• A.$22$
• B.$0$
• C.$-10$
• D.$10$

What is the result of multiplying $(-5xyz)(10abxy)$?

• A.$50abx^2y^2z$
• B.$-50abxy^2z$
• C.$-50abx^2y^2z$
• D.$-50abx^2yz$

If $x = -1$ and $y = -3$, then evaluate: $$5y^2 - 2(x^2 - 4xy) - 5y$$

• A.$74$
• B.$68$
• C.$82$
• D.$90$

Number of terms in the expression $2x^2 + 3x + 2$ is/are ?

• A.Two
• B.Three
• C.Four
• D.One