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Algebraic Expressions — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSAlgebraic Expressions1 Mark
MCQ
How much is $-2x^2 + x + 1$ less than $x^2 + 2x - 3?$
  • A
    $-x^2 + 3x - 2$
  • ✓
    $3x^2 + x - 4$
  • C
    $-3x^2 - x + 4$
  • D
    $3x^2 + 3x - 4$
✓

Answer

Correct option: B.
$3x^2 + x - 4$

Since, $(x^2 + 2x - 3) - (-2x^2 + x + 1)$
$= x^2 + 2x - 3 + 2x^2 - x - 1$
$= 3x^2 + x - 4$
So, $-2x^2 + x + 1$ is less than $x^2 + 2x - 3$ by $3x^2 + x - 4.$
Hence, the correct alternative is option $(b).$

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