Maths-
General
Easy

Question

How can you use polynomial identities to rewrite expressions efficiently ?

hintHint:

Polynomial identities apply beyond just polynomials by replacing the variables with numbers to create a numerical expression. We are asked to explain how you can use polynomial identities to rewrite expressions efficiently.

The correct answer is: variable and numbers



    Step 1 of 1:
    A polynomial expression can be in the expanded form majority of the times. We can use the polynomial identities to factorize them in to the standard form. This will reduce time and space and enhance the quality of writing. Moreover, the polynomial identities are not just limited form variables but for numbers as well. We can use these identities to multiply higher numbers and reduce the calculation part to an extent.
     

    Polynomial identities are equations that are true for all possible values of the variable and numbers.

    Related Questions to study

    General
    Maths-

    Use binomial theorem to expand (2c + d)6

    The expansion of the expression can also be found using the Pascal’s triangle. But, it is necessary to remember the values of the triangle to write down the expansion.

    Use binomial theorem to expand (2c + d)6

    Maths-General

    The expansion of the expression can also be found using the Pascal’s triangle. But, it is necessary to remember the values of the triangle to write down the expansion.

    General
    Maths-

    Use binomial theorem to expand left parenthesis x minus 3 right parenthesis to the power of 4 .

    Use binomial theorem to expand left parenthesis x minus 3 right parenthesis to the power of 4 .

    Maths-General
    General
    Maths-

    Use binomial theorem to expand (x - 1)7

    For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.

    Use binomial theorem to expand (x - 1)7

    Maths-General

    For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.

    parallel
    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    x cubed minus 27 y cubed

    Use polynomial identities to factor the polynomials or simplify the expressions :
    x cubed minus 27 y cubed

    Maths-General
    General
    Maths-

    Use Pascal triangle to expandleft parenthesis x plus y right parenthesis to the power of 6

    Use Pascal triangle to expandleft parenthesis x plus y right parenthesis to the power of 6

    Maths-General
    General
    Maths-

    Use binomial theorem to expand (s2 + 3)5

    For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.

    Use binomial theorem to expand (s2 + 3)5

    Maths-General

    For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.

    parallel
    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    8 x cubed plus y to the power of 9

    Use polynomial identities to factor the polynomials or simplify the expressions :
    8 x cubed plus y to the power of 9

    Maths-General
    General
    Maths-

    Use Pascal triangle to expand left parenthesis x plus y right parenthesis to the power of 6

    Use Pascal triangle to expand left parenthesis x plus y right parenthesis to the power of 6

    Maths-General
    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    x to the power of 9 minus 8

    Use polynomial identities to factor the polynomials or simplify the expressions :
    x to the power of 9 minus 8

    Maths-General
    parallel
    General
    Maths-

    Use Pascal triangle to expandleft parenthesis x plus y right parenthesis to the power of 5

    Use Pascal triangle to expandleft parenthesis x plus y right parenthesis to the power of 5

    Maths-General
    General
    Maths-

    Use binomial theorem to expand (x - 3)4

    For the expansion of an expression (x + y) , we would have n+1 terms. This is something you need to keep in mind.

    Use binomial theorem to expand (x - 3)4

    Maths-General

    For the expansion of an expression (x + y) , we would have n+1 terms. This is something you need to keep in mind.

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    x to the power of 8 minus 9

    Use polynomial identities to factor the polynomials or simplify the expressions :
    x to the power of 8 minus 9

    Maths-General
    parallel
    General
    Maths-

    How is left parenthesis x plus y right parenthesis to the power of n obtained from left parenthesis x plus y right parenthesis to the power of n minus 1 end exponent

    How is left parenthesis x plus y right parenthesis to the power of n obtained from left parenthesis x plus y right parenthesis to the power of n minus 1 end exponent

    Maths-General
    General
    Maths-

    Use Pascal triangle to expand (x + y)6

    The expansion of the polynomial (x + y)6  can be found using the values of 6Cr

    Use Pascal triangle to expand (x + y)6

    Maths-General

    The expansion of the polynomial (x + y)6  can be found using the values of 6Cr

    General
    Maths-

    Use polynomial identities to multiply the expressions ?
    open parentheses 25 straight x squared minus 15 straight y squared close parentheses open parentheses 25 straight x squared plus 15 straight y squared close parentheses

    Use polynomial identities to multiply the expressions ?
    open parentheses 25 straight x squared minus 15 straight y squared close parentheses open parentheses 25 straight x squared plus 15 straight y squared close parentheses

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.