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# halp plz.

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1)What is the coefficient of $$x^2$$ when $$-5x^3 - 5x^2 - 7x + 1$$ is multiplied by $$-x^2 - 6x + 1$$and the like terms are combined?

Is the answer $$36$$?

2) Find $$h(x)$$, with terms in order of decreasing degree, if $$3x^4+2x-1+h(x)=5x^2-6x-1.$$

Aug 23, 2019

#1
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$$1)~\text{you have to inspect the terms in the two polynomials and find which ones, \\ when their exponents are added, sum to two}\\ (-5x^2, 1)\\ (-7x,-6x)\\ (1,-x^2)\\ \text{and that's all of them. Performing the multiplication and summing them all we get}\\ (-5 + 42-1)x^2 = 36x^2\\ \text{You are correct, well done!}$$

$$2)~3x^4 + 2x-1 +h(x) = 5x^2 -6x-1\\ h(x) = (5x^2-6x-1) - (3x^4+2x-1)\\ h(x) = -3x^4 + 5x^2 -8x$$

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Aug 24, 2019
#2
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THx for the Help

Aug 24, 2019