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Zeroes of a Quadratic Polynomial

What is the s...

Question

What is the sum of the degrees of the polynomial $p (x) = x^{3} + 4 x + 2$ and $q (x) = x^{2} + 2 x + 5$ ?

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Solution

The correct option is C 5
The degree of a polynomial is the highest power of the variable term.

For $p (x) = x^{3} + 4 x + 2$ , degree = 3
For $q (x) = x^{2} + 2 x + 5$ , degree = 2

$∴$ Sum of degrees = 2 + 3 = 5

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Similar questions

For each pair of polynomials p(x) and q(x) given below find the degree of p(x) + q(x) and p(x)q(x).

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(ii)

(iii)

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Now in each of the following, find the quotient and remainder on dividing p(x) by q(x) and write then in the form p(x) = u(x) q(x) + v(x).

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p (x) = x^{2} - 2 x + 1

q (x) = x^{3} - 3 x^{2} + 2 x - 1

p (x) \times q (x)

p (x) \times q (x)

p (x) by q (x) if

p (x) = 2 x^{3} - 11 x^{2} - 4 x + 5, q (x) = 2 x + 1

p (x) = x^{3} + \frac{31}{6} x^{2} - 2 x + 4, q (x) = 1 + \frac{3 x}{2}

P (x) + q (x) = x^{2} - 4 x + 1 a n d P (x) - q (x) = x^{2} + 5 x - 2

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