x^2+28x+160. factorise
Answers
Answer:
The first term is x² its coefficient is 1.
The middle term is, -28x its coefficient is -28.
The last term, "the constant ", is +160
Therefore,
x^2+28x+160 = 0
Step-by-step explanation:
x² + 28x+ 160 -----> (We have to pick a pair of table which will add upto 28 and 160 should go in that table) So that only possible table which add upto 28 and 160 is in that table is 20 * 8
Therefore, We have to replace 28x with 20x + 8x
=x² + 20x +8x +160 (the underlined parts are 2pairs formed to factorize)
= x*x + 20 * x + 8 * x + 8* 20 (break each thing into parts like 160 = 8 *20)
= x(x+ 20) + 8(x+20) (Now the 2 brackets match with each other so, we can make that bracket one and 8 +x as another)
Answer = (x+8) (x+20)
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