By.what number should we multiply `7^6` to get `7^2` ?

If p(x)= 3 x^ 2 − a x + 1 and we want p(1) =2 what number should we take in the place of a?

If x^2+x+2=(x-2)(x+a)+b a) Find 'a' and 'b'. b) What number should be added to x^2+x+2 to get a polynomial having a factor '(x+3)'

If x is a natural number What number is to be added to x^2+6x to get a perfect square?

What number should be added to the polynomial x^3-2 x^2+x-4 to get (x-2) as a factor of the polynomial?

We know that sequence got by starting with any number and adding a fixed number repeatedly is called an arithmetic sequence.Example: 1,3,5,7,........ Like this we can form sequences by starting with any number and multiplying by a fixed non-zero number repeatedly. For example 1,2,4,8.......... In this sequence, one number multiplied by 2 gives the next number. Such sequences are called geometric sequences. The common number used for repeated multiplication is called common ratio. What is the 5^(th) term of the geometric sequence 1,2,4,8,........?

We know that sequence got by starting with any number and adding a fixed number repeatedly is called an arithmetic sequence.Example: 1,3,5,7,........ Like this we can form sequences by starting with any number and multiplying by a fixed non-zero number repeatedly. For example 1,2,4,8.......... In this sequence, one number multiplied by 2 gives the next number. Such sequences are called geometric sequences. The common number used for repeated multiplication is called common ratio. What is the common ratio of the geometric sequence 3,12,48,.....?

If 2 and 3 are factors of a number, should 6 also be a factor of that number?.

We know that sequence got by starting with any number and adding a fixed number repeatedly is called an arithmetic sequence.Example: 1,3,5,7,........ Like this we can form sequences by starting with any number and multiplying by a fixed non-zero number repeatedly. For example 1,2,4,8.......... In this sequence, one number multiplied by 2 gives the next number. Such sequences are called geometric sequences. The common number used for repeated multiplication is called common ratio. Write the geometric sequence with first term 2 and common ratio 3.