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Online MCQs about Factorization of Chapter 5 from 9th Class Mathematics with Answers.

MCQs about Factorization 9th Class Chapter 5 Mathematics

1. Factors of $5x^2-17xy-12y^2$ are

 $(x-4y)(5x-3y)$

 $(x+4y)(5x+3y)$

 $(5x-4y)(x+3y)$

 $(x-4y)(5x+3y)$

2. $(x-y)(x^2+xy+y^2)=$

 $x^3-y^3$

 $x^3+y^3$

 $(x+y)^3$

 $(x-y)^3$

3. Factors of $8x^3+27y^3$ are

 $(2x-3y)(4x^2+6xy+9y^2)$

 $(2x+3y)(4x^2-6xy+9y^2)$

 $(2x+3y)(4x^2-9y^2)$

 $(2x-3y)(4x^2-9y^2)$

4. $(x+y)(x^2-xy+y^2)=$

 $x^3-y^3$

 $x^3+y^3$

 $(x+y)^3$

 $(x-y)^3$

5. $x^2+5x+6=$

 $(x+6)(x-1)$

 $(x+1)(x-1)$

 $(x+2)(x+3)$

 $(x-2)(x-3)$

6. Find $$ so that $x^2+4x+m$ is a complete square.

 $16$

 $8$

 $-8$

 $4$

7. What will be added to complete the square of $9a^2-12ab$?

 $16b^2$

 $-16b^2$

 $-4b^2$

 $4b^2$

8. Factors of $x^4-16$ is

 $(x-2)(x+2)(x^2+4)$

 $(x-2)(x+2)$

 $(x-2)^2$

 $(x+2)^2$

9. The factor of $x^2-5x+6$ are

 $x+6, x-1$

 $x+1, x-6$

 $x-2, x-3$

 $x+2, x+3$

10. Factors of $a^4-4b^4$ are

 $(a-b)(a+b)(a^2+4b^2)$

 $(a-b)(a+b)(a^2-4b^2)$

 $(a-2b)(a^2+2b^2)$

 $(a^2-2b^2)(a^2+2b^2)$

11. How many factors of a cubic expression are there?

 Zero

 3

 2

 1

12. What is the value of $p(x)=6x^4+2x^3-x+2$ at $x=0$?

 8

 2

 7

 9

13. Factors of $3x^2-x-2$ are

 $(x+1)(3x-2)$

 $(x-1)(3x+2)$

 $(x-1)(3x-2)$

 $(x+1)(3x+2)$

14. Factors of $3x-3a+xy-ay$

 $(3+y)(x-a)$

 $(3+y)(x+a)$

 $(3-y)(x-a)$

 $(3-y)(x+a)$

15. $\frac{x^2}{y^2} -2 +\frac{y^2}{x^2}=\cdots$

 $\left(\frac{x}{y} – \frac{y}{x}\right)^3$

 $\left(\frac{x}{y} – \frac{y}{x}\right)^2$

 $\left(\frac{x}{y} + \frac{y}{x}\right)^3$

 $\left(\frac{x}{y} + \frac{y}{x}\right)^2$

16. $4a^2-16=$

 $4(a+2)^2$

 $(2a+8)(2a-8)$

 $4(a+2)(a-2)$

 $4(a-2)^2$

17. Factors of $27x^3 – \frac{1}{x^3}$ are

 $\left(3x+\frac{1}{x}\right) \left(9x^2-3+\frac{1}{x^2}\right)$

 $\left(3x-\frac{1}{x}\right) \left(9x^2-3+\frac{1}{x^2}\right)$

 $\left(3x+\frac{1}{x}\right) \left(9x^2+3+\frac{1}{x^2}\right)$

 $\left(3x-\frac{1}{x}\right) \left(9x^2+3+\frac{1}{x^2}\right)$

18. If $x-2$ is a factor of $p(x)=x^2+2kx+8$, then $k=$

 $5$

 $3$

 $4$

 $-3$

19. $4a^2+4ab+(\cdots \cdots)$ is a complete square.

 $a^2$

 $b^2$

 $4b^2$

 $2b$

20. Factors of $pqr+qr^2-pr^2-r^3$ is

 $r(p+r)(q-r)$

 $r(p-r)(q-r)$

 $r(p-r)(q+r)$

 $r(p+r)(q+r)$

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MCQs Factorization Mathematics Chapter 5 Class 9

• The factor of $x^2-5x+6$ are
• Factors of $8x^3+27y^3$ are
• Factors of $3x^2-x-2$ are
• Factors of $a^4-4b^4$ are
• What will be added to complete the square of $9a^2-12ab$?
• Find $$ so that $x^2+4x+m$ is a complete square.
• Factors of $5x^2-17xy-12y^2$ are
• Factors of $27x^3 – \frac{1}{x^3}$ are
• If $x-2$ is a factor of $p(x)=x^2+2kx+8$, then $k=$
• $4a^2+4ab+(\cdots \cdots)$ is a complete square.
• $\frac{x^2}{y^2} -2 +\frac{y^2}{x^2}=\cdots$
• $(x+y)(x^2-xy+y^2)=$
• Factors of $x^4-16$ is
• Factors of $3x-3a+xy-ay$
• Factors of $pqr+qr^2-pr^2-r^3$ is
• What is the value of $p(x)=6x^4+2x^3-x+2$ at $x=0$?
• $x^2+5x+6=$
• $4a^2-16=$
• How many factors of a cubic expression are there?
• $(x-y)(x^2+xy+y^2)=$

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The post contains the Mathematics MCQS Class 10 with Answers. Click the relevant Chapter quiz from Mathematics MCQS Class 10 Tests given below.

Mathematics MCQs Class 10

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Online MCQs Quadratic Equations Maths class 10 with Answers. The Quiz of MCQs Quadratic Equations Maths covers all the topics related to quadratic equations, such as root, solution set, degree of equation, linear equation, concept of coefficients, etc. Let us start with Online MCQs Quadratic Equations Maths Class 10.

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MCQS Quadratic Equations Maths Class 10

• The standard form of quadratic equation is
• The number of terms in a standard quadratic equation $ax^2+bx+c=0$
• The number of methods to solve a quadratic equation is
• The quadratic formula is
• Two linear factors of $x^2-15x + 56$ are
• An equation, which remains unchanged when $x$ is replaced by $\frac{1}{x}$ is called a/ an
• An equation of the type $3^x+3^{2-x}+6=0$ is a/an
• The solution set of equation $4x^2-16=0$ is
• An equation of the form $2x^4-3x^3+7x^2-3x+2=0$ is called a/an
• The solution set of $25x^2-1=0$ is
• An equation of the form $2^{2x}-3.2^x + 5=0$ is called a/an
• The solution set of the equation $x^2-9=0$ is
• An equation of type $x^4+x^3+x^2+x+1=0$ is called
• Solve the equation $5^{1-x}+5^{1-x}=26$
• The solution set of equation $2+9x=5x^2$ is
• The solution set of equation $5x^2=30x$ is
• The solution set of equation $x^2-x-2=0$ is
• The solution set of equation $x^2-16=0$ is
• The solution set of equation $x^2-7x+6=0$ is
• The solution set of equation $3x^2+4x=5$ is
• If $b=0$ in a quadratic equation $ax^2+bx+c=0$, then it is called
• The sentences involving the sign – – – – – – – between two algebraic expressions are called equations.
• The standard form of the quadratic equation is $ax^2+bx+c=0$ where $a, b$ are
• If $a-0$ in $ax^2+bx+c=0$ then it reduces to
• How many linear factors a quadratic equation has?
• What is the degree of quadratic equation?
• The number of roots of a quadratic equation is
• Cancellation of $x$ on both sides of $5x^2=30x$ means
• What should be done to make the coefficient of $x^2$ equal 1, in $7x^2+2x-1=0$?
• What should be done to make the coefficient of $x^2$ equal to 1 in $3x^2+7x=0$?
• The value of a variable of an equation not satisfying the equation is called
• The cancellation of $x$ on both sides of the equation of the type $ax^2=bx$ means the loss of one root. That root is always equal to
• If $y=x^{-1}$ and $3y=5$, the value of $x$ is
• If $2^x=1$ then $x=$
• If $y=2^x$ and $8y=1$, then $x=$

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The post is about online MCQs Algebraic Expressions and Algebraic Formulas 9th Class Mathematics. It covers topics of Algebraic Expressions, Algebraic Formulas, and Polynomials. Let us start with Online MCQs Algebraic Expressions.

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MCQs Algebraic Expressions and Algebraic Formulas 9th Class Mathematics

• $4x+3y-2$ is an algebraic
• The degree of polynomial $4x^4+2x^y$ is
• $a^3+b^3$ is equal to
• $(3+\sqrt{2})(3-\sqrt{2})$ is equal to
• Conjugate of Surd $a+\sqrt{b}$ is
• $\frac{1}{a-b}-\frac{1}{a+b}$ is equal to
• $\frac{a^2-b^2}{a+b}$ is equal to
• $(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})$ is equal to
• The degree of the polynomial $x^2y^2+3xy+y^3$ is
• $x^2-4$
• $x^3+\frac{1}{x^3}=\left(x+\frac{1}{x}\right)(\cdots)$
• $\frac{1}{2-\sqrt{3}} =$
• $(a+b)^2 – (a-b)^2=$
• A surd which contains a single term is called _________ surd.
• What is the leading coefficient of polynomial $3x^2 + 8x +5$?
• A surd which contains two terms is called _________ surd.
• Which of the following is polynomial?
• $(3+\sqrt{3})(3-\sqrt{3})=$
• Which of the following is not surd?
• In the polynomial with the variable $x$, all the powers of $x$ are _______ integers.
• Polynomial means an expression with

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