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I always think of the middle number as the sum and the last number as the product (in this example, we have the sum as 5 and the product as 6!) This just means that we have to look for two numbers which a...

All we need to do here is find the values of x that make each bracket zero.So2x-4=02x=4x=2andx+1=0x=-1

Using the trignometric principles,sin (ACB) = AB/AC = 3/6 = 1/2Thus, angle ACB = 30 degreesand angle BAC = 90 - angle ACB = 60 degrees

x²+8x+15 = (x+3)(x+5)So, the value of x²+8x+15 is zero when x²+8x+15 = 0 i.e. x = -3 or x = -5.

firstly the largest power is x^2 so when factorising we know that both brackets must involve an x plus or minus a number.

next we look at the 21 and we need two numbers that multiply toge...