Fill in the blanks:(i) x2 + x + 3 is a ....... polynomial.(ii) axn +

1.	Fill in the blanks:(i) x2 + x + 3 is a ....... polynomial.(ii) axn + bx + c is a quadratic polynomial if n = ......(iii) The value of the quadratic polynomial x2 - 5x + 4 for x = - 1 is ......(iv) The degree of the polynomial 2x2 + 4x - x3is ..........(v) A real number a will be called the zero of the quadratic polynomial ax2 + bx + c if ........ is equal to zero.
Answer» (i) Quadratic, because it is in the form of ax² + bx² + c = 0 (ii) n = 2, and also a≠0, as it will make the polynomial 0. (iii) Putting the value of x = -1, in x² - 5x + 4 (-1)² - 5(-1) + 4 1 + 5 + 4 10 The value is 10. (iv) The degree is the highest power of the term in the expression, so it is 3. (v) The zeroes of a polynomial are α & β. ∴ To be zero, αx²+b α+c=0 & βx²+b β+c=0

Fill in the blanks:(i) x2 + x + 3 is a ....... polynomial.(ii) axn + bx + c is a quadratic polynomial if n = ......(iii) The value of the quadratic polynomial x2 - 5x + 4 for x = - 1 is ......(iv) The degree of the polynomial 2x2 + 4x - x3is ..........(v) A real number a will be called the zero of the quadratic polynomial ax2 + bx + c if ........ is equal to zero.

Answer»

(i) Quadratic, because it is in the form of ax² + bx² + c = 0

(ii) n = 2, and also a≠0, as it will make the polynomial 0.

(iii) Putting the value of x = -1, in x² - 5x + 4

(-1)² - 5(-1) + 4

1 + 5 + 4

The value is 10.

(iv) The degree is the highest power of the term in the expression, so it is 3.

(v) The zeroes of a polynomial are α & β.

∴ To be zero, αx²+b α+c=0 & βx²+b β+c=0