Question

factorise x to the power 4 minus x cube minus 19 X square + 49 x minus 30
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Answer 1

step-by-step explanation:

Factor f(x)=x^4-x^3-19x^2+49x-30

f(x)=x^4−x^3−19x^2+49x−30

Factor: x^4−x^3−19x^2+49x−30

using the rational roots test.

(x−1)(x^3+0x^2−19x+30)

Multiply: 0 by x^2.

(x−1)(x^3+0−19x+30)

Add:x^3and 0.

(x−1)(x^3−19x+30)

Rewrite x^3−19x+30in a factored form.

f(x)=(x−1)(x−2)(x−3)(x+5).