Quadratic Polynomials

Q. Which of the following is not a quadratic equation?
[1 mark]

(a) $2(x-1{)}^2=4x^2-2x+1$
(b) $2x-x^2=x^2+5$
(c) ${(\sqrt{2}x+\sqrt{3})}^2=3x^2-5x$
(d) $(x^2+2x{)}^2=x^4+3+4x^3$

Q.

Quadratic equation is a polynomial of degree:

1. 1

2. 2

3. 3

4. 4

Q.

If a = 0, what is the degree of the equation a$x^2$ + bx + c = 0

1. 1

2. 3

3. 2

4. 0

Q.

Which of the following are not quadratic polynomials?
(i) $3+4x–7x^2$

(ii) $8x^2–15$

(iii) 6x – 15

(iv) $4x^3–3x$

(v) $x^2–x+1$

Q. The zeroes of the quadratic polynomial $a{x}^2+bx+c$ and the roots of the quadratic equation $a{x}^2+bx+c=0$ are equal.

1. False
2. True

Q. If the graph of a quadratic polynomial is a downward opening parabola, then its quadratic coefficient is a .

1. positive number
2. negative number
3. natural nunber
4. whole number

Q. If $a{x}^n+b{x}^{(n-1)}-1+c=0$ is a quadratic equation, then n =

1. 1
2. 2
3. 3
4. 4

Q. The coefficient of $x$ in the quadratic equation $a{x}^2+bx+c=0$ is called the linear coefficient.

1. True
2. False

Q. Match the quadratic polynomials with the coefficient of their 'x' terms.

1. 3
2. -3
3. 1
4. -1

Q. The quadratic coefficient of the polynomial ($5x^2+6x+9$) is 5.

1. True
2. False