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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
The degree of the polynomial $\left(x^3-2\right)\left(x^2-11\right)$ is:
  • A
    $0$
  • ✓
    $5$
  • C
    $3$
  • D
    $2$
✓

Answer

Correct option: B.
$5$
$\left(x^3-2\right)\left(x^2-11\right)$
$=x^3\left(x^2-11\right)-2\left(x^2-11\right)$
$=x^5-11 x^3-2 x^2+22$
Here, the highest power is $5.$
Therefore, the degree is $5.$

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