1. Consider the trinomial, x^2 - 9x + 14 (a) Is x + 7 a factor of the trinomial? Explain your reasoning.
(b) Write the factored form of the trinomial.

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Step-by-step explanation:

a. no

Step-by-step explanation:

if you do part b, you will see why part a is no.

if you aren't quick with the FOIL method, then here is a tip. you see that the last number is 14, so think of 2 numbers that make 14 when multiplied together. also, see if those 2 numbers when added or subtracted together create the middle number, in this case 9.

you think oh 7 and 2 mulitpled equal 14, and oh when added they make 9.

for foil method, you see 7 and 2 must make 9, but actually, a -9. so you would see quickly that foiling would get you

(x-7)(x-2), which would get you -7x -2x = -9x, and then -7 × -2 = positive 14.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: