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Find the value of 2x2 + 3x when x value is as follows: a) x = -4 b) x = -2

Mathematics

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2 parts
a

20\text{20}

b

2\text{2}

Step-by-step solution

8 steps

6: Find the value of 2x2+3x2x^2 + 3x when xx value is as follows:

Part a· 4 steps

x=−4x = -4

  1. Substitute x=−4x = -4 into the expression 2x2+3x2x^2 + 3x.

    2(−4)2+3(−4)2(-4)^2 + 3(-4)

  2. Calculate the square term.

    2(16)+3(−4)2(16) + 3(-4)

  3. Perform the multiplications.

    32−1232 - 12

  4. Perform the subtraction.

    2020

    The value of the expression when x=−4x = -4 is:

    20\boxed{\text{20}}

Part b

2\text{2}

x=−2x = -2

  1. Substitute x=−2x = -2 into the expression 2x2+3x2x^2 + 3x.

    2(−2)2+3(−2)2(-2)^2 + 3(-2)

  2. Calculate the square term.

    2(4)+3(−2)2(4) + 3(-2)

  3. Perform the multiplications.

    8−68 - 6

  4. Perform the subtraction.

    22

    The value of the expression when x=−2x = -2 is:

    2\boxed{\text{2}}
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