Rewrite the polynomial 12×2 + 6 – 7×5 + 3×3 + 7×4 – 5x in standard form. Then, identify the leading coefficient, degree, and number of terms

Question

Rewrite the polynomial 12×2 + 6 – 7×5 + 3×3 + 7×4 – 5x in standard form. Then, identify the leading coefficient, degree, and number of terms. Name the polynomial.

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Tài Đức 3 years 2021-08-14T03:45:43+00:00 1 Answers 67 views 0

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  1. Orla
    0
    2021-08-14T03:47:30+00:00
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    Given:

    The polynomial,

    12x^2+6-7x^5+3x^3+7x^4-5x

    To find:

    The standard form, leading coefficient, degree, and number of terms for the given polynomial.

    Solution:

    Consider the polynomial,

    P(x)=12x^2+6-7x^5+3x^3+7x^4-5x

    Arrange the terms according to their powers from largest to smallest.

    P(x)=-7x^5+7x^4+3x^3+12x^2-5x+6

    Therefore, the standard form of given polynomial is P(x)=-7x^5+7x^4+3x^3+12x^2-5x+6.

    Here, the highest power of the variable is 5.

    So, degree of the polynomial is 5.

    Leading term is -7x^5.

    So, leading coefficient is -7.

    Terms in the polynomial are -7x^5,7x^4,3x^3,12x^2,-5x, and 6.

    So, the number of terms is 6.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )