Maths-
General
Easy

Question

Find the GCF (GCD) of terms of the given polynomial.
negative 18 y to the power of 4 plus 6 y cubed plus 24 y squared

hintHint:

  • The highest number that divides exactly into two or more numbers is known as GCF.
  • A polynomial is a type of algebraic expression in which the exponents of all variable should be a whole number.

The correct answer is: The GCD of this polynomial will be 6y2.


    • We have been given a polynomial in the question.
    • We have to find the GCF.
    Step 1 of 1:
    We have to find the GCD of the given polynomial negative 18 y to the power of 4 plus 6 y cubed plus 24 y squared.
    Now we will factorize the given polynomial and extract the greatest factor from it.
    So,

     equals negative 18 y to the power of 4 plus 6 y cubed plus 24 y squared

     equals space 6 cross times y cross times y open parentheses negative 3 y squared plus y plus 4 close parentheses

    equals space 6 y squared open parentheses negative 3 y squared plus y plus 4 close parentheses
    So, The GCD of this polynomial will be 6y2.

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