What non-zero rational number must be placed in the square so that the simplified product of these two binomia

Question

What non-zero rational number must be placed in the square so that the simplified product of these two binomials is a binomial: $(7t-10)(5t+\Box )$? Express your answer as a mixed number.

GPT-5 mini · Answer

Multiply: (7t-10)(5t+x) = 35t^2 + (7x-50)t -10x.  
To be a binomial (and x ≠ 0) make the t-term vanish: 7x-50=0 → x = 50/7 = 7 1/7.

What non-zero rational number must be placed in the square so that the simplified product of these two binomials is a binomial: $(7t-10)(5t+\Box )$? Express your answer as a mixed number.

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