Question

(8x^2-5x-7)-(9x^2-3x-5)+(x+7)(x+1) The polynomial simplifies to an expression that is a _____ _____ with a degree of __. 1st blank: constant, quadratic, or linear. 2nd blank: binomial, monomial, or trinomial. 3rd blank: 0,1, or 2.

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Answer 1

$(8x^2-5x-7)-(9x^2-3x-5)+(x+7)(x+1)\\=8x^2-5x-7-9x^2+3x+5+(x)(x)+(x)(1)+(7)(x)+(7)(1)\\=-x^2-2x-2+x^2+x+7x+7=6x+5$


The polynomial simplifies to an expression that is a linear binominal with a degree of 1.