Question

Can someone help me?

Answer 1

2. Factor the following expression completely.
2x2 - 18

A. 2(x2 - 9)*

B. (2x + 3)(x - 3)

C. 2(x + 3)(x - 3)

D. 2(x - 3)2


10. Let p(x) and q(x) be polynomials as shown below.
p(x) = a0 + a1x + a2x2... + anxn
q(x) = b0 + b1x + b2x2... + bmxm

Which of the following is always true regarding the product of p(x) and q(x)?

A. The product of p(x) and q(x) is a real number.

B. The product of p(x) and q(x) is a polynomial.

C. The product of p(x) and q(x) is a binomial.

D. The product of p(x) and q(x) is an integer.

Answer 2

2.\[2x ^{2}-18=2\left( x ^{2}-9 \right)=2\left( x ^{3} -3^{2}\right)=2\left( x+3 \right)\left( x-3 \right)\]
3.product of two polynomials is a polynomial.

Answer 3

Thank you!

Answer 4

yw

Answer 5

\[\frac{ -6-2\iota }{-6+2\iota }*\frac{ -6-2\iota }{-6-2\iota }=\frac{ \left( -6 \right)^{2}+\left( -2\iota \right)^{2}+2*\left( -6 \right)*\left( -2\iota \right) }{\left( -6 \right)^{2}-\left( -2\iota \right)^{2} }\]
\[=\frac{ 36-4+24\iota }{ 36+4 }=\frac{ 32+24\iota }{ 40 }=\frac{ 4+3\iota }{5 }\]