Quadratic Equation

Q.

Which of the following is not a quadratic equation?

1. $2(x-1)=4x^2-2x+1$

2. $2x-x^2=x^2+5$

3. ${(\sqrt{2}x+\sqrt{3})}^2+x^2=3x^2-5x$

4. ${(x^2+2x)}^2=x^4+3+4x^3$

Q. The number of polynomials with zeros as 6 and 4 are:

[1 mark]

1. One
2. Two
3. Three
4. Infinite

Q. { The sum of the real roots of polynomial }72-36z}{-26z^2+13z^3+2z^4-z^5=0 will be

Q. Which of the following is the root of quadratic equation $(x+\frac{1}{a}{)}^2-b^2=0$?

1. $\frac{-b}{a}$
2. $-ab$
3. $-b-\frac{1}{a}$
4. $b+\frac{1}{a}$

Q. what are the zeroes of the polynomials f(x) = 2x^3-9x^2+x+12

Q.

The equation is a quadratic equation : $\frac{x+5}{1}=\frac{2x+10}{x-6}$

1. True

2. False

Q. Evaluate the following using identities:​
​v. $(1.5x^2-0.3y^2)(1.5x^2+0.3y^2)$

Q. Question 1(v)
Check whether the following are quadratic equations:
$\left(v\right)(2x-1)(x-3)=(x+5)(x-1)$

Q. The rationalising factor for the irrational number, $5-\sqrt{7}$ is .

Q. the value of quadratic polynomial is zero only at x=-2 and -1. if p(1)=6, then p(3) is

Q.

Condition for a$x^2$ + bx+ c = 0 to be a quadratic equation is

1. a≥ 0; a, b, c are real

2. a< 0; a, b, c are unreal

3. a≤ 0; a, b, c are real

4. a≠ 0; a, b, c are real.

Q. $(4+\sqrt{3})\times$ ________ results in a rational number.

Q. The number of polynomials with zeros as 6 and 4 are:

[1 mark]

1. One
2. Two
3. Three
4. Infinite

Q. Evaluate $(y^2+7y+10)÷(y+5$)

1. $2y-2$
2. $y+2$
3. $y-2$
4. $2y+2$

Q. 8x^2+7x+3=0 ->qaudratic equation or not ? but if 8x^2+7x+3=other number except 0 ->still it will be a quadratic equation or not?

Q. Solve: $2^{2+x}+2^{x+2}-4\times 2^3=0$

Q. Solve for $x$ :$3^{4x+1}=(27{)}^{x+1}$

Q. Let $(x_0,y_0)$ be the solution of the following equations $(2x{)}^{ln2}=(3y{)}^{ln3}$ , $3^{lnx}=2^{lny}$ then $x_0$ is

1. $\frac{1}{3}$
2. 6
3. $\frac{1}{6}$
4. $\frac{1}{2}$

Q. Match the following.

1. Cubic Polynomial
2. Trinomial
3. Monomial
4. Binomial

Q. find the value of k for which the quadratic polynomial kx^2+x+k has equal zeros as 1/2.

Q. The rationalising factor for the irrational number, $5-\sqrt{7}$ is .

Q. While traveling from her home to school, Ashley walks one-fourth of the way, cycles for two-fifths and travels 3.85 miles by car.

What is the total distance between her home and school?

1. 8 mi
2. 9 mi
3. 10 mi
4. 11 mi

Q. Which of the following expressions is not a polynomial ?
a) 6x^2 - Root 6
b) x-1/x
c) 8x^2-1/2x+1
d) Root 2 * 4x^2 +1