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14 October, 22:01

the model represents the factorization of 2x2+5x+3. what are the factors of the polynomial. (2x+3) (x+1), (2x-3) (x-1), (3x+2) (x-1), (3x-2) (x-1).

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  1. 15 October, 01:16
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    The factors of the polynomial are (2x + 3) (x + 1) ⇒ 1st answer

    Step-by-step explanation:

    * Lets explain how to factor a trinomial in the form ax² ± bx ± c

    - Look at the c term first.

    # If the c term is a positive number, then its factors r, s will both

    be positive or both be negative it depends on the sign of b, if b

    positive then both are positive if b negative then both are negative

    # a has two factors h and k

    # The brackets are (hx ± r) (kx ± s) where a = hk, c = rs and b = rk + hs

    # If the c term is a negative number, then either r or s will be negative,

    but not both.

    # a has two factors h and k

    # The brackets are (hx + r) (kx - s) where a = hk, c = rs and b = rk - hs

    * Lets solve the problem

    ∵ The trinomial is 2x² + 5x + 3

    ∴ a = 2, b = 5, c = 3

    ∵ c is positive

    ∴ Its factors r and s have same sign

    ∵ b is positive

    ∴ r and s both positive

    ∵ a = 2

    ∵ The factors of a are h, k

    ∵ 2 = 2 * 1

    ∴ h = 2 and k = 1

    ∵ c = 3

    ∵ The factors of c are r, s

    ∵ 3 = 3 * 1

    ∴ r = 3 and s = 1

    ∵ The brackets are (hx + r) (kx + s)

    ∴ 2x² + 5x + = (2x + 3) (x + 1)

    * The factors of the polynomial are (2x + 3) (x + 1)
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