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Please help with the 78th question of biquadratic equations.. Please help with the 78th question of biquadratic equations..
dear student, biquad polynomial means it has degree 4.also, since its roots are given to be – 2, 3, 5, 7, it means that we can write f(x) as follows:f(x)= A(x – ( – 2))(x – 3)(x – 5)(x – 7)= A(x+2)(x – 3)(x – 5)(x – 7)put x=0 both sidesf(0)= A(2)(-3)(-5)(-7)or A= – 1/210so, the remainder when f(x) is divided by x – 1, would be f(1) (using remainder theorem)so, f(1)= A(1+2)(1 – 3)(1 – 5)(1 – 7)= – (1/210)(3)(-2)(-4)(-6)= 24/35option CKINDLY APPROVE :))
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