Question

drag the operator to the correct location on the image. which operation results in a trinomial? + - · (4x⁵ - 8x) (3x² - 8x + 9) reset next

Explanation:

Step1: Test addition operation

$(4x^5 - 8x) + (3x^2 - 8x + 9) = 4x^5 + 3x^2 - 16x + 9$

Step2: Test subtraction operation

$(4x^5 - 8x) - (3x^2 - 8x + 9) = 4x^5 - 3x^2 - 9$

Step3: Test multiplication operation

$(4x^5 - 8x)(3x^2 - 8x + 9) = 12x^7 - 32x^6 + 36x^5 - 24x^3 + 64x^2 - 72x$

Step4: Identify trinomial result

A trinomial has exactly 3 terms. The subtraction result has 3 terms.

Answer:

The subtraction operator ($-$) results in a trinomial. The resulting trinomial is $4x^5 - 3x^2 - 9$.