A cubic polynomial is of degree ...............

We get the original number if we multiply the............together.

If α and β are the zeroes of the quadratic polynomial ax² + bx + c, then α +β =

The division algorithm states that given any polynomial p(x) and any non-zero polynomial g(x), there are polynomials q(x) and r(x) such that

p(x) = g(x) q(x) + r(x),where

write standard form of quadratic polynomial.

write sum of zeroes for a cubic polynomial.

The graphical representation of a liner polynomial is...........

Divide 3x³ + x² + 2x + 5 by 1 + 2x + x².

write division algorithm for polynomials.

what is sum of zeroes for a quadratic polynomial?

Product of zeroes for a quadratic polynomial is...........

If the zeroes of the polynomial x³ – 3x² + x + 1 are a – b, a, a + b, find a and b.

Find all the zeroes of 2x⁴ – 3x³ – 3x² + 6x – 2, if you know that two of its zeroes are 2 and − 2 .

Divide 3x² – x³ – 3x + 5 by x – 1 – x², and verify the division algorithm.

Divide 2x² + 3x + 1 by x + 2.

Dividend = Divisor × Quotient +............

Find a quadratic polynomial with the given numbers as the sum and product of its zeroes respectively  $\sqrt{2}$  , $\frac{1}{3}$  .

αβ + βγ + γα =

α + β + γ =

quadratic polynomial ax² + bx + c, a ≠ 0, the

graph of the corresponding equation y = ax² + bx + c has one of the two shapes

A polynomial p(x) of degree n, the graph of y = p(x)

intersects the x-axis at atmost n points. Then polynomial p(x) of degree n has

On dividing x³ – 3x² + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4, respectively. Find g(x).

choose example of polynomials p(y), g(y), q(y) and r(y), which satisfy the division algorithm and deg p(y) = deg q(y).

the graphical representation of cubic polynomial is

Find the zeroes of the polynomial x² – 3 and verify the relationship between the zeroes and the coefficients.

Find all the zeroes of 2 $x^4$   – 3 $x^3$   – 3 $x^2$   + 6x – 2, if you know that two of its zeroes are  $\sqrt{2}$  and  $-\sqrt{2}$ .