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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsMediumLevel 75
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Which pair correctly splits the middle term in (3x^2-8x+4)?

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Answer and explanation

Correct answer: (-6x) and (-2x)

(-6x-2x=-8x), and ((-6)(-2)=12), which equals (3\cdot4). Exam tip: the product of the two numbers must be (ac).

Related tags

Middle Term SplittingAc MethodQuadratic Expression

Frequently asked questions

What is the correct answer to this question?

(-6x) and (-2x)

Why is this the correct answer?

(-6x-2x=-8x), and ((-6)(-2)=12), which equals (3\cdot4). Exam tip: the product of the two numbers must be (ac).

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.

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  3. 3If a, b and c are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in x?
  4. 4If a quadratic expression has the general form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?
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  6. 6Which of the following quadratic expressions can be factorised using the identity for the difference of two squares?
  7. 7The length of a rectangular garden is \(x+5\) metres and its breadth is \(x+3\) metres. Which quadratic expression represents its area?
  8. 8Under which condition can the quadratic trinomial \(x^2+px+q\) be classified as a perfect-square trinomial?
  9. 9Which is the expansion of ((x+3)(x+2))?
  10. 10Which of the following expressions can be written as a difference of squares of two binomials?
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