math 10 – week 7

this week in math we learned how to more easily factor trinomials.

take 3x² + 10x + 8 for example. what you want to do is multiply the leading coefficient (3) by the last number (8) and 3 x 8 = 24.

now you have to find out what equation gets the product of 24 but also has the sum of 10 (the number in the middle).

there is 1 x 24, 2 x 12, 3 x 8, 4 x 6. 4 + 6 = 10 so we know that’s what it is.

to get a binomial you have to arrange the parts of the equation in a box like this:

the first part of the equation (3x²) goes in the top left box, the last part (8) goes in the bottom right, the numbers you just figured out ( 6 and 4) in the other boxes with an x behind them.

now you have to see whats similar with the numbers by seeing what you can divide into them. like this

and now you have your answer (x + 2) (3x + 4).

it takes a bit to explain but it can work a lot faster in your head.

math 10 – week 6

this week in math we learned how to get a binomial equation from the answer. what you have to do is take the answer x² + 18x + 56. You have to see what multiplies into the number on the end, so 56, 1 x 56, 2 x 28, 4 x 14, 7 x 8. now, you have to see which of the equations when you add them together, equal the middle number. when added, 4 + 14 equals 18 (remove the x behind the 18) so the equation for this would be (x + 4)(x + 14) or (x + 14)(x + 4) because the order doesn’t matter.

math 10 – week 5

this week in math we learned how to multiply 2 binomials. All you have to do is multiply each term by each other the easiest way to multiply them is by using FOIL front, outside, inside, last. when you use it, it should look like this

Image result for foil in binomials

math 10 – week 4

this week in math we learned how to get the height of something by standing on the ground using trigonometry. All you have to do is measure the angle from your eye to the top of the object. Then measure how far away from the object you are. Now that you have an angle and a side of the triangle you can use tan(ang)= x/length. after you do that equation you will have to measure from the ground to your eye and add that onto the answer. That is how you measure something like tree or a building without having to go up and measure it.

math 10 – week 3

This week in math we learned about trigonometry and soh cah toa. Basically you make a reference point on an angle of a right angle triangle that isn’t the 90 degree angle, the longest side is the hypotenuse side, the side beside the reference point that isn’t the hypotenuse is the adjacent side, and the side opposite of the reference point is the opposite side.

soh cah toa is sine, opposite, hypotenuse. cosine, adjacent, hypotenuse. tangent, opposite, adjacent.

it tells you what angle to use on your calculator for what function.

Math 10 – Week 2

This week in math we learned about negative exponents. I thought it was going to be really confusing but all you need to do is flip the base to the other side of the division line and if there is no division line you can make one by putting a one on the other side.