Sasi Math (Revised for 1024)

Scroll:Algebra >> Multiple Choice Questions: >> mcq (4180)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

One of the factors of x³-2x²+2x -1 is

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

( )

The polynomial 4x²+2x-2 is a

1) linear polynomial
2) cubic polynomial
3) quadratic polynomial
4) constant polynomial

( )

If the polynomial x³ –ax²+2x-a is divided (x-a), then remainder is

(1)⇒ a

(2)⇒(a²)

(3) ⇒(a³)

(4) ⇒(-a)

1) 4
2) 3
3) 2
4) 1

( )

The zero of the polynomial 2x-5 is

1) 52 ' title=" -

\frac{5}{2}

"/> -

\frac{5}{2}

2) 25 ' title="-

\frac{2}{5}

"/> -

\frac{2}{5}

3) 25 ' title="

\frac{2}{5}

"/>

\frac{2}{5}

4) 52 ' title="

\frac{5}{2}

"/>

\frac{5}{2}

( )

The root of the polynomial equation 3x-1 = 0 is

1) 13 ' title=" x = -

\frac{1}{3}

"/> x = -

\frac{1}{3}

2) 13 ' title="x =

\frac{1}{3}

"/> x =

\frac{1}{3}

3) x = 1
4) x = 3

( )

The degree of the polynomial 4x²-7x³+ 6x + 1 is

1) 0
2) 3
3) 2
4) 1

( )

If a polynomial p(x) is divided by (ax+b), then the remainder is

1) ab) ' title="p(-

\frac{a}{b}

) "/> p(-

\frac{a}{b}

)
2) ba) ' title=" p(

\frac{b}{a}

) "/> p(

\frac{b}{a}

)
3) ab) ' title="p(

\frac{a}{b}

) "/> p(

\frac{a}{b}

)
4) ba) ' title="p(-

\frac{b}{a}

) "/> p(-

\frac{b}{a}

)

( )

The polynomial 3x-2 is a

1) quadratic polynomial
2) constant polynomial
3) cubic polynomial
4) linear polynomial

( )

.The coefficients of x² and x in 2x³ -3x²- 2x + 3 are respectively

1) -2,-3
2) -2,3
3) 2,-3
4) -3,-2

( )

10)

The roots of the polynomial equation x² +2x = 0 are

1) x = 1,2
2) x = 1,-2
3) X = 0,2
4) x =0,-2

( )

One of the factors of x³-2x²+2x -1 is

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

Answer: 1

SOLUTION 1 :

Hint:[ (x³-2x²+ 2x -1 = x³-x²-x² + x + x -1 = x²(x-1) – x(x-1) + 1(x-1) = (x-1) (x²-x + 1) ]

Ans = x - 1

The polynomial 4x²+2x-2 is a

1) constant polynomial
2) linear polynomial
3) quadratic polynomial
4) cubic polynomial

Answer: 3

SOLUTION 1 :

Hint: [ The degree of 4x²+2x-2 is 2, It is a quadratic polynomial]

Ans = quadratic polynomial

If the polynomial x³ –ax²+2x-a is divided (x-a), then remainder is

(1)⇒ a

(2)⇒(a²)

(3) ⇒(a³)

(4) ⇒(-a)

1) 4
2) 1
3) 3
4) 2

Answer: 2

SOLUTION 1 :

Hint:[ [ p(x) = x³ – ax²+ 2x- a ⇒ The zero of x - a is a

p(a) = a³-a(a)²+2(a)-a ⇒ a³ - a³ + 2a - a = 2 ]

Ans = a

The zero of the polynomial 2x-5 is

1) 25 ' title="-

\frac{2}{5}

"/> -

\frac{2}{5}

2) 25 ' title="

\frac{2}{5}

"/>

\frac{2}{5}

3) 52 ' title=" -

\frac{5}{2}

"/> -

\frac{5}{2}

4) 52 ' title="

\frac{5}{2}

"/>

\frac{5}{2}

Answer: 4

SOLUTION 1 :

Hint: [ p(x) = 2x -5=2 ( $\frac{x-5}{2)}$ $\frac{p(5}{2)}$ = $\frac{2(5}{2-5}$ /2)=0. Hence x= $\frac{5}{2is}$ zero of p(x)

Ans = $\frac{5}{2}$

The root of the polynomial equation 3x-1 = 0 is

1) 13 ' title=" x = -

\frac{1}{3}

"/> x = -

\frac{1}{3}

2) x = 3
3) x = 1
4) 13 ' title="x =

\frac{1}{3}

"/> x =

\frac{1}{3}

Answer: 4

SOLUTION 1 :

Hint: [3x -1 = 0 ⇒ 3x = 1 ⇒ x = $\frac{1}{3}$ ]

Ans = x = $\frac{1}{3}$

The degree of the polynomial 4x²-7x³+ 6x + 1 is

1) 1
2) 0
3) 3
4) 2

Answer: 3

SOLUTION 1 :

Hint: [The term having the highest degree is -7x³, The degree is 3]

Ans =3

If a polynomial p(x) is divided by (ax+b), then the remainder is

1) ab) ' title="p(-

\frac{a}{b}

) "/> p(-

\frac{a}{b}

)
2) ba) ' title="p(-

\frac{b}{a}

) "/> p(-

\frac{b}{a}

)
3) ab) ' title="p(

\frac{a}{b}

) "/> p(

\frac{a}{b}

)
4) ba) ' title=" p(

\frac{b}{a}

) "/> p(

\frac{b}{a}

)

Answer: 2

SOLUTION 1 :

Ans = $\frac{p(-b}{a)}$

The polynomial 3x-2 is a

1) linear polynomial
2) quadratic polynomial
3) cubic polynomial
4) constant polynomial

Answer: 1

SOLUTION 1 :

Hint: [ The degree of 3x-2 is 1, It is a linear polynomial]

Ans = linear polynomial

.The coefficients of x² and x in 2x³ -3x²- 2x + 3 are respectively

1) -3,-2
2) -2,3
3) -2,-3
4) 2,-3

Answer: 1

SOLUTION 1 :

Hint:[The co-efficient of x² is- 3 and The co-efficient of x is -2]

Ans = -3,-2

10)

The roots of the polynomial equation x² +2x = 0 are

1) x = 1,-2
2) X = 0,2
3) x =0,-2
4) x = 1,2

Answer: 3

SOLUTION 1 :

Hint: [ [x² +2x = 0 ⇒ x(x+2)=0 ⇒ x = 0 (or) x + 2 = 0 ⇒ x=0 (or) x = -2 ⇒ x = 0,-2]

Ans = x = 0, -2

Scroll:Algebra >> Multiple Choice Questions: >> mcq (4180)

One of the factors of x3 -2x2 +2x -1 is

One of the factors of x3 -2x2 +2x -1 is

One of the factors of x³-2x²+2x -1 is

One of the factors of x³-2x²+2x -1 is