A quadratic monomial with a leading coefficient of 6 A linear binomial with a leading coefficient of 2

Question

A quadratic monomial with a leading coefficient of 6

A linear binomial with a leading coefficient of 2

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Phúc Điền 3 years 2021-09-05T16:36:18+00:00 1 Answers 8 views 0

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    2021-09-05T16:37:40+00:00

    Given:

    A quadratic monomial with a leading coefficient of 6.

    A linear binomial with a leading coefficient of 2.

    To find:

    The mathematical terms for the given statements.

    Solution:

    Monomial: The expression with single term.

    Binomial: The expression with two terms.

    Quadratic: Highest power of the variable is 2.

    Linear: Highest power of the variable is 1.

    Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.

    The first statement is “A quadratic monomial with a leading coefficient of 6”.

    Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is 6x^2.

    The second statement is “A linear binomial with a leading coefficient of 2”.

    Linear binomial means ax+b, where a and b are real values. The leading coefficient is 2. So, a=2.

    Let b=1, then the required linear binomial is 2x+1.

    Therefore, a quadratic monomial with a leading coefficient of 6 is 6x^2.

    A linear binomial with a leading coefficient of 2 is 2x+1.

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