Q 5 Algebraic Manipulation

If an algebraic expression is exactly divisible by two or more expressions, then the expression is said to be

• Rational expression

• Irrational expression

• Common multiple

• Second expression

The number should be added to Complete the square of x⁴ + 64 is

• 4x²

• 16x²

• 8x²

• −16x²

By multiplying and dividing the polynomials with any number during the process of finding H.C.F

• H.C.F is not affected

• H.C.F is affected

• L.C.M is not affected

• L.C.M is affected

H.C.F × L.C.M ⁄ 1st expression =

• 1

• H.C.F

• second expression

• L.C.M

The number of methods to find square root of an algebraic expression are

• 3

• 4

• 5

• 2

Product of two expressions ⁄ H.C.F =

• H.C.F

• L.C.M

• H.C.F + L.C.M

• H.C.F × L.C.M

Product of two expressions =

• H.C.F

• L.C.M

• H.C.F + L.C.M

• H.C.F × L.C.M

For two or more algebraic expressions, the expression of highest degree which divides each of them without remainder is called

• L.C.M

• H.C.F

• rational expression

• irrational expression

Product of two expressions ⁄ L.C.M =

• H.C.F

• L.C.M

• H.C.F + L.C.M

• H.C.F × L.C.M

For two or more algebraic expressions, the expression of lowest degree which is divisible by each of them without remainder is known as

• L.C.M

• H.C.F

• rational expression

• irrational expression