Question

Algebra please help if you can

Answer 1

The answer of the multiplication of two polynomials after simplification is $(6x^{4} -7x^{3}+3x^{2}+17x -14)$.

According to the question,

We have the following two polynomials:

$(3x^{2} -5x+7)$ and $(2x^{2}+x-2)$

Now, multiplying these two polynomials:

$(3x^{2} -5x+7) (2x^{2} +x-2)\\3x^{2} (2x^{2} +x-2) -5x(2x^{2} +x-2) +7(2x^{2} +x-2)\\6x^{4} +3x^{3}- 6x^{2} -10x^{3} - 10x^{2} +10x +14x^{2} +7x-14\\6x^{4} -7x^{3}+3x^{2} +17x-14$

(Please note that the numbers with the same variables can be added and subtracted. For example, the numbers with the variable $x^{2}$ can only be added or subtracted with variables having $x^{2}$.)

(More to know: every number has to be multiplied with every number in the bracket. For example, in this case, 7 from the first polynomial has been multiplied with the second polynomial. And 7 is multiplied with every number of this polynomial.)

Hence, the result after multiplying the two polynomials and simplifying them is $6x^{4}-7x^{3} +3x^{2} +17x-14$.

To know more about polynomials here

brainly.com/question/11536910

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