Quadratic Equation as Product of 2 First Degree Equations

Q.

Determine the degree of each of the following polynomials:
($2x-1$

Q.

Which among the following is a cubic polynomial?

1. $x^2+5x-14$
   

2. $x^3-4x^2$

3. $3x^2-4x$

4. $3x-4$

Q.

The highest power of x in a polynomial p(x) is called the ________ of the polynomial.

1. degree

2. order

3. root

4. power

Q.

Factorise the expression and divide them as directed: $39y^3\left(50y^2-98\right)÷26y^2\left(5y+7\right)$.

Q.

The rational form of $2.74\overline{35}$ is

1. $\frac{27161}{999}$

2. $\frac{27}{99}$

3. $\frac{27161}{9900}$

4. $\frac{27161}{9000}$

Q.

If the length of the diagonal of a square is (a + b), then the area of the square will be:

1. $(a^2+b^2)$

2. $\frac{1}{2}(a^2+b^2)$

3. $(a+b{)}^2$

4. $\frac{1}{2}(a+b{)}^2$

Q.

S1 : A degree 10 polynomial can have 5 real zeroes

S2 : Complex roots always occurs in pairs.

1. S2 : Complex roots always occurs in pairs.

2. S1 is true but S2 is false

3. S1 is false but S2 is true

4. S1 and S2 are false

Q.

Factorise x^2+8 by splitting middle term.

Q. how to do factorisation of a cubic polynomial

Q.

Determine the degree of the following polynomials: $2x-1$.

Q.

Write the degree of the polynomial x cube + y square + 1

Q.

Find the degree of the polynomial -3x + 1,

1. cannot be determined

2. 1

3. 0

4. 1.5

Q. Write the following polynomial as the product of two first degree polynomials:

1. (x-1)(x+4)
2. (x-2)(x+2)
3. (x-2)(x-2)
4. (x+1)(x-4)

Q.

Question 29
Factorise the following:

(i) $9x^2+4y^2+16z^2+12xy–16yz–24xz$

(ii) $25x^2+16y^2+4z^2–40xy+16yz–20xz$

(iii) $16x^2+4y^2+9z^2–16xy–12yz+24xz$

Q. Define degree of a polynomial.

Q. Which of the following is not a polynomial?

(a) $\sqrt{3}{x}^2-2\sqrt{3}x+5$
(b) $9x^2-4x+\sqrt{2}$
(c) $\frac{3}{2}{x}^3+6x^2-\frac{1}{\sqrt{2}}x-8$
(d) $x+\frac{3}{x}$

Q.

Find values of a and b so that x^{​​​​​​4} + x^{​​​​​​3} + 8x² + ax + b is divisible by x^{​​​​​​2} + 1.

Q. Which of the following is a polynomial?

(a) $x^2-5x+6\sqrt{x}+2$
(b) $x^{3/2}-x+x^{1/2}+1$
(c) $\sqrt{x}+\frac{1}{\sqrt{x}}$
(d) None of these

Q.

In each of the second degree polynomials given below, find the numbers to be taken as x to get zero:

(i) x² − 5x + 6

(ii) x² − 2x − 1

(iii) x² + 5x + 6

(iv) 2x² − 7x − 15

(v) x² + x − 6

(vi) 9x² + 12x + 4

(vii) x² − x − 6

Q.

Pls explain me how to get the answer

What is he degree of polynomial p(x)=ax⁴+bx³+cx²+dx+e

a/b=0&b≠0

Q.

Determine the degree of each of the following polynomials:
$-10$

Q. $\sqrt{3}$ is a polynomial of degree ___ .

1. 0
2. 1
3. $\frac{1}{3}$
4. 3

Q.

Express the given decimal expression in the form of $\frac{p}{q}$.

(ii).$2.\overline{4}$

Q.

Factorise the following using appropriate identities:
$9y^2–6y+1$

1. (4y-1) (3y-1)

2. (7y-1) (3y-1)

3. (3y-1) (3y-1)

4. (2y-1) (3y-1)

Q.

which of the following polynomials has the factors (x+7) (x-1) ?

1. $x^2+6x-6$

2. $x^2+6x-9$

3. $x^2+6x-8$

4. $x^2+6x-7$

Q. If you visualize $a^2$, then the shape you get will be a .

1. rectangle
2. square
3. triangle

Q. Which of the following is a polynomial?

(a)
(b)
(c)
(d) None of these

Q. The degree of a polynomial is

1. the highest value of coefficient among all terms in the given polynomial.
2. the lowest value of coefficient among all terms in the given polynomial.
3. the highest exponent of the variable in the polynomial.
4. the lowest exponent of the variable in the polynomial.

Q.

What is the degree of the expression $(3x+4)(2x+3)$?

1. 1

2. 2

3. 3

4. 4

Q.

Express the given decimal expression in the form of $\frac{p}{q}$.

(i).$0.\overline{8}$