Question

The degree of the product of a quadratic and a cubic polynomial is equal to

• A. 2
• B. 3
• C. 5
• D. 7

Answer 1

The correct option is C 5

Consider a general quadratic polynomial, $f\left(x\right)={\mathrm{ax}}^2+\mathrm{bx}+c,a\ne 0$and a general cubic polynomial,

$g\left(x\right)={\mathrm{px}}^3+{\mathrm{qx}}^2+\mathrm{rx}+s,p\ne 0.$

Then, the leading term of $f\left(x\right)\times g\left(x\right)\mathrm{will}\mathrm{be}{\mathrm{ax}}^2\times {\mathrm{px}}^2={\mathrm{apx}}^5,\mathrm{ap}\ne 0.$

$\therefore \mathrm{Degree}\mathrm{of}f\left(x\right)\times g\left(x\right)=5$

Hence, the correct answer is option (c).