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The polynomial p(x) is given: p(x)=x^3+2x^2-5x-6, express p(x) as the product of three linear factors

p(x)=x 3 +2x 2 -5x-6 =x(x 2 +2x-5)-6 =x(x 2 +2x+1-6)-6 as we know (x+1) 2 =x 2 +2x+1,5 can be expressed 1-6 =x[(x+1) 2 -6]-6 =x(x+1) 2 -6x-6 =x(x+1) 2 -6(x+1) =(x+1)[x(x+1)-6] =(x+1)(x 2 +x-6) here, -6 can b...
JB
Answered by Jingyi B. • Maths tutor
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Factorise X^2 + 1X -12

Because the highest power of X is 2, this is a Quadratic Equation When factorised, these look like (x + a)(x + b) where a & b are constants To factorise this, we need to find 2 numbers which add together...
JW
Answered by Jack W. • Maths tutor
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Describe the process of evolution (6 Marks)

Mutations in genetic code occur naturally leading to different alleles in genes. (1 mark) This leads to variation within a species. (1 mark) Variation provides some individuals with traits which mean they ar...
JW
Answered by Jack W. • Biology tutor
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Show clearly that (3√3)^2 = 27

Show clearly that (3√3) 2 = 27 First of all, the question looks overfacing due to the surds, I can assure you that surds are not scary, they simply act as a means of clearing up messy numbers such as 1.73205...
EC
Answered by Eleanor C. • Maths tutor
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How to solve the absolute-value inequalities?

Absolute value means how far away you are from zero. It's better to draw a number line to understand and solve the question. Given the inequality l 4x+3 l >15 , the distance of the 4x+3 value from 0 must ...
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Answered by Cynthia C. • Maths tutor
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